Question 16
The positive divisors $d_1, d_2, \dots, d_l$ of a natural number $n$ are arranged in the form
$$1 = d_1 \lt d_2 \lt \dots \lt d_l = n.$$
Suppose it is known that $d_1^2 + d_{15}^2 = d_{16}^2$. Find all possible values of $d_{17}$.
$$1 = d_1 \lt d_2 \lt \dots \lt d_l = n.$$
Suppose it is known that $d_1^2 + d_{15}^2 = d_{16}^2$. Find all possible values of $d_{17}$.