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PERFECT NUMBERS

A Perfect Number is a positive integer which is equal to the sum all its positive divisors including one but excluding itself.  The smallest perfect number is 6, since

6 = 1 + 2 + 3.

and the divisors of 6 excluding itself are 1, 2 and 3.

The next larger perfect number is 28, since

28 = 1 + 2 + 4 + 7 + 14.

The next two perfect numbers are 496 and 8128.

 

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