2007 OIM Problems/Problem 5

Problem

A natural number $n$ is "daring" if the set of its divisors, from 1 to $n$ inclusive, can be divided into three subsets such that the sum of the elements of each subset is the same in all three. What is the smallest number of divisors a daring number can have?

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

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See also

OIM Problems and Solutions