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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 mathematicians for mathematicians.
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Almost Perfect Sequence 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.)
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
These options will be used automatically if you select this example.
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
These options will be used automatically if you select this example.
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
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