Question 46
For every positive integer $n$, let $\sigma(n)$ denote the number of positive divisors of $n$ and let $s(n)$ denote the number of positive divisors $d$ of $n$ such that $d+1|n+1$. Find the maximum value of
$$
2s(n) - \sigma(n).
$$
$$
2s(n) - \sigma(n).
$$