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National and Regional Contests
Korea Contests
Korea Junior Mathematics Olympiad
2018 Korea Junior Math Olympiad
2
2
Part of
2018 Korea Junior Math Olympiad
Problems
(1)
sum of squares of divisors
Source: KJMO 2018 p2
7/26/2019
Find all positive integer
N
N
N
which has not less than
4
4
4
positive divisors, such that the sum of squares of the
4
4
4
smallest positive divisors of
N
N
N
is equal to
N
N
N
.
number theory