# Dirichlet It Everytime

$\displaystyle \sum_{n=1}^\infty \dfrac{\sigma_{2016} (n)}{n^{M}}$

Let $$\sigma_A(n)$$ denote the sum of $$A^\text{th}$$ powers of all the positive integer divisors of $$n$$. For example, $$\sigma_5(6) = 1^5 + 2^5 + 3^5 + 6^5 = 8052$$. Find the infimum of $$M$$ such that the series above converges.

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