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1999 Canada National Olympiad
3
Find n if n = (d(n))^2
Find n if n = (d(n))^2
Source: Canada 1999
March 4, 2006
number theory
Problem Statement
Determine all positive integers
n
n
n
with the property that
n
=
(
d
(
n
)
)
2
n = (d(n))^2
n
=
(
d
(
n
)
)
2
. Here
d
(
n
)
d(n)
d
(
n
)
denotes the number of positive divisors of
n
n
n
.
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