Question 2
Find all integers $n$ satisfying $n\ge2$ and
$$\frac{\sigma(n)}{p(n)-1}=n,$$
where $\sigma(n)$ denotes the sum of all positive divisors of $n$, and $p(n)$ denotes the largest prime divisor of $n$.
$$\frac{\sigma(n)}{p(n)-1}=n,$$
where $\sigma(n)$ denotes the sum of all positive divisors of $n$, and $p(n)$ denotes the largest prime divisor of $n$.