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.
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}.
No. The only known almost perfect numbers are the powers of 2, namely 1, 2, 4, 8, 16, 32, ...
Two almost perfect numbers between five and twenty are six and twelve. Six has divisors one, two, and three, which add up to five, just one less than itself. Twelve has divisors one, two, three, four, and six, summing to sixteen, which is four less than twelve. Both numbers are close to being perfect, as they fall short by a small amount.
No, 9 is not considered an almost perfect number. An almost perfect number is defined as a positive integer that is one less than a perfect number, which has a sum of its proper divisors equal to itself. The smallest almost perfect number is 8, which is one less than the perfect number 16. Therefore, 9 does not fit this classification.
There are infinitely many perfect numbers so they cannot all be listed.
An almost perfect number is a natural number n such that the sum of all divisors of n is equal to 2n - 1.
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}.
No. The only known almost perfect numbers are the powers of 2, namely 1, 2, 4, 8, 16, 32, ...
The duration of Almost Perfect is 1800.0 seconds.
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
there are no perfect numbers instead there are perfect cubes, perfect squares, natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. If you want natural no. they are 21, 22, 23, 24, 25, 26, 27, 28, and 29.
6 and 28 are perfect numbers.
Almost Perfect - Torchwood - was created in 2008.
Almost Perfect ended on 1996-10-30.
Almost Perfect was created on 1995-09-17.
The duration of An Almost Perfect Affair is 1.55 hours.
No. The only perfect numbers less than 100 are 6 and 28. All known perfect numbers are even - it is unknown whether there are odd perfect numbers.