Perfect number is a positive integer that is equal to the sum of its proper positive divisors, the sum of its positive divisors excluding the number itself. It is a number that is half the sum of all of its positive divisors.
For example, the first four perfect numbers are generated by the formula 2p−1(2p − 1), with p a prime number, as follows:
for p = 2: 21(22 − 1) = 6
for p = 3: 22(23 − 1) = 28
for p = 5: 24(25 − 1) = 496
for p = 7: 26(27 − 1) = 8128.
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