what is perfect number?are all perfect number are even?
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Equivalently, a perfect number is a number that is half the sum of all of its positive divisors including itself i.e. σ1(n) = 2n. For instance, 28 is perfect as 1 + 2 + 4 + 7 + 14 + 28 = 56 = 2 × 28. ... It is not known whether there are any odd perfect numbers, nor whether infinitely many perfect numbers exist
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A positive integer that is equal to the sum of its proper divisors.
The smallest perfect number is 6, which is the sum of 1, 2, and 3.
Other perfect numbers are 28, 496, and 8,128.
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