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5
Funky Divisors Problem
Funky Divisors Problem
Source:
December 28, 2006
AMC
AIME
Problem Statement
Find the sum of all positive integers
a
=
2
n
3
m
,
a=2^{n}3^{m},
a
=
2
n
3
m
,
where
n
n
n
and
m
m
m
are non-negative integers, for which
a
6
a^{6}
a
6
is not a divisor of
6
a
.
6^{a}.
6
a
.
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