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Almost perfect numbers refer to numbers where

σ(x) = 2x - 1, where σ is the sum of divisors function. Any number in the form 2n is almost perfect because

σ(2n) = 1 + 2 + 4 + ... + 2n = 2n+1-1 = 2(2n) - 1.

It is unknown whether any other almost perfect numbers exist.

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Q: What numbers are almost perfect numbers?
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Related questions

What are all the almost perfect numbers?

An almost perfect number is a natural number n such that the sum of all divisors of n is equal to 2n - 1.


Is 32 an almost perfect number?

Yes. The only known almost perfect numbers are the powers of 2. 32 = 2^5 is an almost perfect number. It has not yet been proved whether {x: x = 2^n for n in N} = {x: x is an almost perfect number}.


Is 100 an nearly perfect number?

No. The only known almost perfect numbers are the powers of 2, namely 1, 2, 4, 8, 16, 32, ...


What is the duration of Almost Perfect?

The duration of Almost Perfect is 1800.0 seconds.


What are 2 almost perfect numbers between 5 and 20?

Perfect numbers are numbers where all the factors add to that number. For example 6's factors are 1,2, and 3 and 1+2+3=6. Therefore the next perfect number isn't until 28 which is 1,2, 4, 7, 14 where 1+2+4+7+14= 28 An almost perfect number is a number which, when adding all of its proper divisors (all divisors except himself), gives you one less, or one more then the number itlself. Up to now all known almost perfect numbers are 2^n. So to answer your question, the 2 almost perfect numbers between 5 and 20 are 8 and 16. Divisors of 8: 1,2,4 -----> 1+2+4=7 Divisors of 16: 1,2,4,8 -----> 1+2+4+8=15


What are the two numbers between 5 and 20 that are almost perfect.?

7 17


Perfect numbers between 20 and 30?

There are no perfect numbers between 20 and 30. Perfect numbers are numbers that are equal to the sum of their proper divisors, excluding the number itself. The perfect numbers within this range would be 28, but that is incorrect as 28 is not a perfect number.


What are example of perfect numbers?

6 and 28 are perfect numbers.


What are the perfect numbers up to 100?

There are 48 different numbers that are considered to be perfect numbers. The perfect numbers that are up to 100 include 6 and 28.


When did Almost Perfect end?

Almost Perfect ended on 1996-10-30.


When was Almost Perfect created?

Almost Perfect was created on 1995-09-17.


When was Almost Perfect - Torchwood - created?

Almost Perfect - Torchwood - was created in 2008.