For any positive integer
, let
denote the number of its positive divisors (including 1 and itself). Determine all positive integers
for which there exists a positive integer
such that
.
%V0
For any positive integer $n$, let $\tau (n)$ denote the number of its positive divisors (including 1 and itself). Determine all positive integers $m$ for which there exists a positive integer $n$ such that $\frac{\tau (n^{2})}{\tau (n)}=m$.