Difference between revisions of "2007 OIM Problems/Problem 5"
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== Problem == | == Problem == | ||
| − | A natural number <math>n</math> is "''daring''" | + | A natural number <math>n</math> is "''daring''" if the set of its divisors, from 1 to <math>n</math> 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 | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
Latest revision as of 16:51, 14 December 2023
Problem
A natural number 
is "daring" if the set of its divisors, from 1 to 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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