Question 3
Determine all positive integers $n \ge 2$ which have a positive divisor $m \mid n$ satisfying
$$n = d^3 + m^3,$$
where $d$ is the smallest divisor of $n$ which is greater than $1$.
$$n = d^3 + m^3,$$
where $d$ is the smallest divisor of $n$ which is greater than $1$.