# Odd factors

Author: mathforces
Problem has been solved: 26 times

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Let $f (n)$ be the largest odd factor of a natural number $n$ and $m - 1 = \lfloor \frac{f(1)}{1}+\frac{f(2)}{2}+...+\frac{f(3^{2020}-1)}{3^{2020}-1} \rfloor$. Find the number of factors of $m$.