Write a program that determines Perfect Numbers. A perfect number is an integer, such that the sum of all the distinct factors in the number, excluding the number itself, add up to the original number. Perfect numbers are not very common. Examples of perfect numbers are:
6 = 1 + 2 + 3
28 = 1 + 2 + 4 + 7 + 14
496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248
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