Arithmetic properties of the sum of divisors

Tewodros Amdeberhan, Victor H. Moll, Vaishavi Sharma +1

The divisor function $\sigma (n)$ denotes the sum of the divisors of the positive integer $n$. For a prime $p$ and $m\in \mathbb{N}$, the $p$-adic valuation of $m$ is the highest power…