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.
announcement
a new site!
We just launched a new site – Online Unicode Tools – utilities for working with Unicode. Check it out!
fullscreen
fullscreen_exit
A link to this tool, including input, options and all chained tools.
Can't convert.
Almost perfect numbers generator tool
What is a almost perfect numbers generator?
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 use
First 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
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 Pi Digit Sum
Find the sum of pi digits.
Calculate e Digit Sum
Find the sum of e digits.
Calculate Golden Ratio Digit Sum
Find the sum of Golden Ratio digits.
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 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 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 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.
Partition a Number
Find all partitions of the given integer.
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.
Generate a Sparse Matrix
Generate a matrix with very few non-zero elements.
Multiply a Matrix by a Scalar
Multiply all matrix elements by a number.
Check if a Matrix is Singular
Determine if a matrix is degenerate.
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 eigenvalues of a matrix.
Prettify a Matrix
Beautify a matrix by neatly aligning all its columns.
Reformat a Matrix
Convert matrix in one format to another format.
Draw a Fibonacci Spiral
Generate a Fibonacci 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.
Generate a Multiplication Table
Draw an n×m multiplication table.
Flip a Coin
Toss a coin and get head or tails.
Roll a Dice
Throw a dice and get a number on its side.
Subscribe!
Never miss an update
Cool!
Notifications
We'll let you know when we add this tool
Cool!
Feedback
we'd love to hear from you!
Created with love by 
We're Browserling — a friendly and fun cross-browser testing company powered by alien technology. At Browserling we love to make developers' lives easier, so we created this collection of online math tools. Unlike many other tools, we made our tools free, without ads, and with the simplest possible user interface. Our online math tools are actually powered by our programming tools that we created over the last couple of years. Check them out!
Secret message
If you love our tools, then we love you, too! Use coupon code MATHLING to get a discount at Browserling.
Privacy Policy
we don't log data!
All conversions and calculations are done in your browser using JavaScript. We don't send a single bit about your input data to our servers. There is no server-side processing at all. We use Google Analytics and StatCounter for site usage analytics. Your IP address is saved on our web server, but it's not associated with any personally identifiable information. We don't use cookies and don't store session information in cookies. We use your browser's local storage to save tools' input. It stays on your computer.
Terms of Service
the legal stuff
By using Online Math Tools you agree to our Terms of Service. TLDR: You don't need an account to use our tools. All tools are free of charge and you can use them as much as you want. You can't do illegal or shady things with our tools. We may block your access to tools, if we find out you're doing something bad. We're not liable for your actions and we offer no warranty. We may revise our terms at any time.