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 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
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