# Almost perfect numbers generator

World's simplest math tool
Free online browser-based utility that generates almost perfect numbers sequence. Just specify how many almost perfect numbers you need and you'll automatically get that many values. There are no ads, popups or nonsense, just an awesome slightly defective numbers calculator. Press a button – get almost perfect numbers. Created by math nerds from team Browserling.

we have a comic!
comic for nerds

We have created our own comic! Check it out! New comics every week.

A link to this tool, including input, options and all chained tools.

Can't convert.

## What is a almost perfect numbers generator?

learn more about this tool
This tool generates almost perfect numbers. They are also known as slightly defective numbers and least deficient numbers. A positive number n is called almost perfect if the sum of its proper divisors (excluding the number itself) is equal to n-1. At the moment all known slightly defective numbers are in the form of 2^n (all powers of two). As 2^n grows exponentially, this sequence quickly tends to infinity. In this tool, you can quickly generate and find arbitrary large values of this sequence. You can also enter the initial value, and generate a sequence starting from this number. For you convenience, we've also added a delimiter option that lets you separate all least deficient numbers by character of your choice. Mathabulous!

## Almost perfect numbers generator examples

Click to useFirst 20 Almost Perfect Numbers

This example generates the first 20 elements of the sequence of almost perfect numbers and separates them with a comma. As you can see, each value is in form 2^n. (1 = 2^0, 2 = 2^1, 4 = 2^2, 8 = 2^3, ...)

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288

**Required options**

Initial value of the almost
perfect numbers sequence.

How many almost perfect
numbers to generate?

Delimiter for the almost perfect
numbers sequence.
(Newline by default.)

Rapid Growth of the Least Deficient Numbers Sequence

In this example we set the initial value to 1000, and generate 100 following elements of the sequence. This example very well demonstrates the exponential growth of the least deficient numbers sequence. As you can see, the first value's length is only four as it has four digits (1024), and the last one contains as many as 33 digits (649037107316853453566312041152512). Supercalifragilisticexpialidocious!

1024
2048
4096
8192
16384
32768
65536
131072
262144
524288
1048576
2097152
4194304
8388608
16777216
33554432
67108864
134217728
268435456
536870912
1073741824
2147483648
4294967296
8589934592
17179869184
34359738368
68719476736
137438953472
274877906944
549755813888
1099511627776
2199023255552
4398046511104
8796093022208
17592186044416
35184372088832
70368744177664
140737488355328
281474976710656
562949953421312
1125899906842624
2251799813685248
4503599627370496
9007199254740992
18014398509481984
36028797018963968
72057594037927936
144115188075855872
288230376151711744
576460752303423488
1152921504606846976
2305843009213693952
4611686018427387904
9223372036854775808
18446744073709551616
36893488147419103232
73786976294838206464
147573952589676412928
295147905179352825856
590295810358705651712
1180591620717411303424
2361183241434822606848
4722366482869645213696
9444732965739290427392
18889465931478580854784
37778931862957161709568
75557863725914323419136
151115727451828646838272
302231454903657293676544
604462909807314587353088
1208925819614629174706176
2417851639229258349412352
4835703278458516698824704
9671406556917033397649408
19342813113834066795298816
38685626227668133590597632
77371252455336267181195264
154742504910672534362390528
309485009821345068724781056
618970019642690137449562112
1237940039285380274899124224
2475880078570760549798248448
4951760157141521099596496896
9903520314283042199192993792
19807040628566084398385987584
39614081257132168796771975168
79228162514264337593543950336
158456325028528675187087900672
316912650057057350374175801344
633825300114114700748351602688
1267650600228229401496703205376
2535301200456458802993406410752
5070602400912917605986812821504
10141204801825835211973625643008
20282409603651670423947251286016
40564819207303340847894502572032
81129638414606681695789005144064
162259276829213363391578010288128
324518553658426726783156020576256
649037107316853453566312041152512

**Required options**

Initial value of the almost
perfect numbers sequence.

How many almost perfect
numbers to generate?

Delimiter for the almost perfect
numbers sequence.
(Newline by default.)

Pro tips
Master online math tools

You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!

https://onlinemathtools.com/generate-almost-perfect-numbers?&start=0&count=20&separator=%2C%20

All math tools

Quickly visualize rules of an Lindenmayer rewrite system.

Quickly generate a list of primes.

Quickly generate a list of Fibonacci numbers.

Quickly generate a list of extended, negative Fibonacci numbers.

Quickly generate a list of Fibonacci primes.

Quickly generate a list of Fibonacci words.

Quickly generate a list of Tribonacci words.

Quickly generate a list of Lucas numbers.

Quickly generate a list of extended, negative Lucas numbers.

Quickly generate a list of Lucas numbers that are also prime numbers.

Quickly create a list of excessive numbers.

Quickly create a list of deficient numbers.

Quickly generate a list of perfect numbers.

Quickly create a list of slightly defective numbers.

Quickly generate random numbers.

Quickly generate a list of look-and-say sequence numbers.

Quickly create a list of Prouhet-Thue-Morse sequence values.

Quickly create a list of dragon curve sequence values.

Quickly create a list of Oldenburger-Kolakoski sequence values.

Quickly create a list of Gijswijt sequence values.

Quickly create a list of Golay-Rudin-Shapiro sequence values.

Quickly create a list of Baum-Sweet sequence values.

Quickly create a list of Moser-de Bruijn sequence values.

Quickly generate a list of even numbers.

Quickly generate a list of odd numbers.

Quickly find all factors of the given integer.

Quickly decompose integers into their prime factors.

Quickly find out if the given integer is a prime number.

Quickly check if the given number is a Fibonacci number

Quickly generate π constant's digits to arbitrary precision.

Quickly calculate Euler constant's digits to arbitrary precision.

Quickly calculate φ constant's digits to arbitrary precision.

Quickly calculate factorials.

Quickly create a triangluar array of binomial coefficients.

Quickly create a matrix with random elements.

Quickly create a unit matrix with ones along the diagonal.

Quickly find the transpose of a matrix.

Quickly find the inverse of a matrix.

Quickly calculate the determinant of a matrix.

Quickly find the sum of two or more matrices.

Find the difference of two or more matrices.

Quickly find the product of matrices.

Quickly draw a Hilbert space-filling curve.

Quickly draw a Heighway triangle fractal.

Quickly draw a Harter-Heighway space-filling dragon fractal.

Quickly draw a Davis-Knuth dragon fractal.

Quickly draw a triple dragon fractal.

Quickly draw a quaddragon fractal.

Quickly draw a hexdragon curve.

Quickly draw a Peano space-filling fractal.

Quickly draw a Moore space-filling curve.

Quickly draw a Peano-Gosper space-filling curve.

Quickly draw a Sierpinski arrowhead fractal curve.

Quickly draw a Sierpinski sieve fractal.

Quickly draw a Sierpinski closed plane fractal curve.

Quickly draw a Sierpinski carpet fractal.

Quickly draw a Sierpinski maze fractal.

Quickly draw a Sierpinski square fractal.

Quickly draw a Sierpinski pentaflake fractal.

Quickly draw a Sierpinski hexaflake fractal.

Quickly draw a Sierpinski n-gon fractal.

Quickly draw a Koch island fractal curve.

Quickly draw a Koch antisnowflake fractal.

Quickly draw a Koch triangle fractal.

Quickly draw a Koch n-gon fractal.

Quickly draw a quadratic Koch flake fractal.

Quickly draw a Cesaro fractal.

Quickly draw a Cesaro n-gon fractal.

Quickly draw a triflake fractal.

Quickly draw a quadric cross fractal.

Quickly draw a self-similar Levy C fractal curve.

Quickly draw a Vicsek snowflake fractal.

Quickly draw a T-square fractal.

Quickly draw a Cantor set fractal.

Quickly draw an asymmetric Cantor set fractal.

Quickly draw a generalized Cantor set fractal.

Quickly draw an ε-Cantor set fractal.

Quickly draw a Cantor dust fractal.

Quickly draw a Pythagoras tree fractal.

Quickly draw a Fibonacci word fractal.

Quickly draw an H-tree fractal.

Quickly draw a V-tree fractal.

Quickly generate a Morton Z-order fractal curve.

Coming soon
These math tools are on the way

Plot a Function

Draw graphs of mathematical functions.

Draw a LaTeX Formula

Create an image from a LaTeX expression.

Find n-th e Digit

Calculate the n-th digit of Euler's number.

Find n-th Golden Ratio Digit

Calculate the n-th digit of Golden Ratio.

Find n-th Pi Digit

Calculate the n-th digit of pi constant.

Calculate e Digit Sum

Find the sum of e digits.

Calculate Golden Ratio Digit Sum

Find the sum of Golden Ratio digits.

Calculate Pi Digit Sum

Find the sum of pi digits.

Generate Champernowne Digits

Generate Champernowne constant's digits.

Generate Supergolden Ratio Digits

Generate supergolden ratio constant's digits.

Find n-th Champernowne Digit

Calculate the n-th digit of Champernowne constant.

Decode a Look-and-say Sequence

Perform the inverse operation on a look-and-say sequence.

Generate P-adic Expansions

Calculate p-adic expansions of arbitrary numbers.

Generate Pandigital Number Sequence

Create a list of pandigital numbers.

Generate Stanley Number Sequence

Create a list of Stanley numbers.

Generate Bell Number Sequence

Create a list of Bell numbers.

Generate Carmichael Number Sequence

Create a list of Charmichel numbers.

Generate Catalan Number Sequence

Create a list of Catalan numbers.

Generate Triangular Number Sequence

Create a list of triangle numbers.

Generate Composite Number Sequence

Create a list of composite numbers.

Generate Secant Number Sequence

Create a list of secant numbers.

Generate Golomb Number Sequence

Create a list of Golomb-Silverman numbers.

Generate Euler's Totient Number Sequence

Create a list of Euler's phi numbers.

Generate Juggler Number Sequence

Create a list of juggler numbers.

Generate Lucky Number Sequence

Create a list of lucky numbers.

Generate Motzkin Number Sequence

Create a list of motzkin numbers.

Generate Padovan Number Sequence

Create a list of Padovan numbers.

Generate Narayana's Cow Sequence

Create a list of Narayana's cow numbers.

Generate Pseudoperfect Number Sequence

Create a list of semiperfect numbers.

Generate Ulam Number Sequence

Create a list of Ulam numbers.

Generate Weird Number Sequence

Create a list of weird numbers.

Generate Superperfect Number Sequence

Create a list of superperfect numbers.

Continue a Number Sequence

Find a pattern in a number sequence and extend it.

Partition a Number

Find all partitions of the given integer.

Generate Tribonacci Numbers

Create a list of Tribonacci numbers.

Generate Tetranacci Numbers

Create a list of Tetranacci numbers.

Generate Pentanacci Numbers

Create a list of Pentanacci numbers.

Generate n-nacci Numbers

Create a list of higher order Fibonacci numbers.

Generate Partition Number Sequence

Create a list of Partition function numbers.

Generate Arithmetic Progression

Create an arithmetic sequence of numbers.

Generate Geometric Progression

Create a geometric sequence of numbers.

Generate Polynomial Progression

Create a polynomial sequence of numbers.

Generate Natural Number Sequence

Create a list of natural numbers.

Generate Powers of Two

Create a list of numbers of powers of two.

Generate Powers of Ten

Create a list of numbers of powers of ten.

Sort a Matrix

Sort matrix rows or columns.

Clamp a Matrix

Set an allowed range for all matrix values.

Randomize a Matrix

Shuffle all elements of a matrix.

Delete Matrix Rows

Delete one or more rows of the given matrix.

Delete Matrix Columns

Delete one or more columns of the given matrix.

Replace Matrix Elements

Replace certain matrix elements with other values.

Set Matrix Determinant

Create a matrix with the given determinant.

Create a Rotation Matrix

Create a rotation matrix from the given angle.

Decode a Rotation Matrix

Find the angle from the given rotation matrix.

Generate a Custom Matrix

Generate a matrix with specific properties and elements.

Generate a Dense Matrix

Generate a matrix with very few zero elements.

Generate a Sparse Matrix

Generate a matrix with very few non-zero elements.

Generate a Singular Matrix

Generate a degenerate matrix with a zero determinant.

Generate a Zeros Matrix

Generate a matrix with all 0's as elements.

Generate a Ones Matrix

Generate a matrix with all 0's as elements.

Generate a Binary Matrix

Generate a matrix with 0's and 1's as elements.

Generate a Square Matrix

Generate a matrix with n rows and n columns (n×n matrix).

Generate a Symmetric Matrix

Generate a matrix with symmetric elements along the diagonal.

Generate a Triangular Matrix

Generate an upper-triangular or lower-triangular matrix.

Generate a Diagonal Matrix

Generate a matrix with elements placed only on the diagonal.

Generate an Orthogonal Matrix

Generate a matrix with orthogonal rows and columns.

Multiply a Matrix by a Scalar

Multiply all matrix elements by a number.

Multiply a Matrix by a Vector

Multiply a matrix by a column vector.

Multiply a Vector by a Matrix

Multiply a row vector by a matrix.

Split a Matrix into Vectors

Create m or n vectors from an m×n matrix (from rows or cols).

Check if a Matrix is Singular

Determine if a matrix is degenerate.

Find Matrix Dimensions

Find the number of rows and columns of a matrix.

Find the Co-factor Matrix

Given a matrix, find its cofactor matrix.

Find the Adjugate Matrix

Given a matrix, find its adjunct.

LU Factor a Matrix

Decompose a matrix into LU factors.

Find Matrix Eigenvalues

Find the eigenvalues of a matrix.

Find Matrix Trace

Find the sum of main diagonal elements of a matrix.

Find Matrix Diagonal Sum

Find the sum of all diagonals or antidiagonals of a matrix.

Find Matrix Row Sum

Find the sum of each row of a matrix.

Find Matrix Column Sum

Find the sum of each column of a matrix.

Find Matrix Element Sum

Find the sum of all matrix elements.

Find Matrix Element Product

Find the product of all matrix elements.

Prettify a Matrix

Beautify a matrix by neatly aligning all its columns.

Reformat a Matrix

Convert a matrix in one format to another format.

Visualize a Vector

Draw a 2d or 3d vector to show its magnitude and angle.

Sort a Vector

Sort vector components.

Clamp a Vector

Set the allowed range for all vector components.

Randomize a Vector

Randomize the order of vector components.

Truncate a Vector

Delete vector components.

Replace Vector Components

Replace certain vector components with other values.

Prettify a Vector

Beautify a vector and neatly align all its components.

Reformat a Vector

Convert a vector in one format to another format.

Transpose a Vector

Convert a row-vector to column-vector.

Duplicate a Vector

Create multiple copies of the same vector.

Increment a Vector

Increment vector components.

Decrement a Vector

Increment vector components.

Rotate a Vector

Rotate a vector by any angle.

Scale a Vector

Shrink or enlarge a vector by a constant factor.

Calculate Vector Angle

Find the angle that's formed between two vectors.

Set Vector Angle

Create pairs of vectors with a specific angle.

Normalize a Vector

Create a unit vector of length one from any given vector.

Generate a Random Vector

Create one or more random vectors of any length.

Generate a Custom Vector

Create custom vectors with specific components.

Generate a Dense Vector

Create a vector with very few zero components.

Generate a Sparse Vector

Create a vector with many zero components.

Generate a Null Vector

Create a vector all components equal to zero.

Generate a Ones Vector

Create a vector all components equal to one.

Generate a Unit Vector

Create one or more random vectors of length one.

Generate Opposite Vectors

Create pairs of antiparallel vectors.

Generate Parallel Vectors

Create pairs of parallel vectors.

Generate Perpendicular Vectors

Create pairs of perpendicular vectors.

Generate Orthogonal Vectors

Create pairs of orthogonal vectors.

Generate Orthonormal Vectors

Create pairs of perpendicular unit vectors of length one.

Find Vector Norm

Calculate L₁, L₂, L₃, L₄, L₅, and other vector norms.

Find Vector Length

Calculate the length of a vector.

Set Vector Length

Create vectors with a specific length.

Find Vector Dot Product

Calculate the scalar product of two vectors.

Set Vector Dot Product

Find two vectors with a specific scalar product value.

Find Vector Cross Product

Calculate the cross product of two vectors.

Set Vector Cross Product

Find two vectors with a specific cross product value.

Find Scalar Triple Product

Calculate the mixed product of three vectors.

Find Vector Triple Product

Calculate the vector triple product (back of the cab).

Find Scalar Quadruple Product

Calculate the scalar quadruple product of four vectors.

Find Vector Quadruple Product

Calculate the vector product of four vectors.

Mix Vectors

Mix the components of multiple vectors.

Join Vectors

Concatenate two or more vectors.

Add Vectors

Find the sum of two or more vectors.

Multiply Vectors

Multiply two or more vectors.

Multiply Vector by Constant

Multiply all vector components by a scalar value.

Find Vector Component Sum

Find the sum of all vector components.

Find Vector Component Product

Find the product of all vector components.

Find Vector Dimensions

Find the number of components in a vector.

Calculate Sine

Calculate the sine of an angle.

Visualize Sine

Draw the sine function.

Calculate Arcsine

Calculate the arcsine of an angle.

Visualize Arcsine

Draw the arcsine function.

Calculate Cosine

Calculate the cosine of an angle.

Visualize Cosine

Draw the cosine function.

Calculate Arccosine

Calculate the arccosine of an angle.

Visualize Arccosine

Draw the arccosine function.

Calculate Tangent

Calculate the tangent of an angle.

Visualize Tangent

Draw the tangent function.

Calculate Cotangent

Calculate the cotangent of an angle.

Visualize Cotangent

Draw the cotangent function.

Calculate Cosecant

Calculate the cosecant of an angle.

Visualize Cosecant

Draw the cosecant function.

Calculate Secant

Calculate the secant of an angle.

Visualize Secant

Draw the secant function.

Draw All Trigonometric Functions

Visualize all trigonometric functions at once.

Draw an Archimedean Spiral

Generate an Archimedean spiral curve.

Draw an Euler Spiral

Generate a Cornu spiral curve (polynomial spiral).

Draw a Fibonacci Spiral

Generate a Fibonacci spiral curve.

Draw a Theodorus Spiral

Generate a square root spiral.

Draw a Fermat Spiral

Generate a parabolic spiral curve.

Draw Fibonacci Rectangles

Generate a drawing of Fibonacci rectangles.

Draw a Fibonacci Seed Head

Generate a Fibonacci flower head.

Draw a Padovan Fractal

Generate a Padovan equiliteral triangles fractal.

Draw a Apollonian Gasket

Generate an Apollonian gasket fractal.

Draw a Mandelbrot Fractal

Generate a Mandelbrot fractal.

Draw a Julia Fractal

Generate a Julia fractal.

Draw a Rauzy Fractal

Generate a Rauzy fractal.

Draw Blancmange Fractal Curve

Generate a Blancmange fractal.

Draw Weierstrass Function

Generate a Weierstrass fractal.

Draw Minkowski Question-mark Curve

Generate a Minkowski Question-mark fractal.

Draw Thomae's Function

Generate a Thomae's function (also known as popcorn or raindrop function).

Draw Dirichlet's Function

Generate a Dirichlet's function.

Draw a Gabriel's Horn

Draw a geometric figure with infinite surface area and finite volume.

Convert Words to Numbers

Convert numbers as English text to actual digits.

Convert Numbers to Words

Convert numbers to written English text.

Convert Decimal Notation to Scientific Notation

Convert numbers written in decimal form to scientific form.

Convert Scientific Notation to Decimal Notation

Convert numbers written in scientific form to decimal form.

Round Numbers Up

Apply ceil operation to numbers.

Round Numbers Down

Apply floor operation to numbers.

Analyze Numbers

Count how many times each number appears.

Rewrite a Number as a Sum

Create a sum that adds up to the given number.

Rewrite a Number as a Product

Create a product that multiplies up to the given number.

Generate a Multiplication Table

Draw an n×m multiplication table.

Generate an Addition Table

Draw an n×m addition table.

Generate a Division Table

Draw an n×m division table.

Generate a Modular Arithmetic Table

Draw an n×m modular arithmetic table for any modulus.

Draw a Pie Chart

Draw a pie chart and show relative sizes of data.

Draw a Bar Chart

Draw a bar chart and visualize data.

Draw a Column Chart

Draw a column chart and visualize data.

Draw a Line Chart

Draw a line chart and visualize data.

Draw an Area Chart

Draw an area chart and visualize data.

Visualize Percentage

Draw a chart that shows percentage.

Tile a Plane

Fill a plane by convex regular polygons.

Flip a Coin

Toss a coin and get head or tails.

Roll a Dice

Throw a dice and get a number on its side.

Generate a Maze

Draw a maze of any size and complexity.

Subscribe!
Never miss an update

Cool!

Notifications
We'll let you know when we add this tool

Cool!