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2007 OIM Problems/Problem 5

Revision as of 16:51, 14 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == A natural number <math>n</math> is "''daring''"<math> if the set of its divisors, from 1 to </math>n$ inclusive, can be divided into three subsets such that the...")
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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

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