Perfect divisors
We call a positive integer a proper divisor of positive integer if it is a divisor of other than itself.
Given that the answer to this question is a 3-digit integer, what is the sum of all the proper divisors of the answer to this question?
The answer is 496.
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1 solution
According to the problem the answer is equal to the sum of its proper divisors, hence it is a perfect number. There is only one 3-digit perfect number, namely 496.