Question 149
List all positive divisors of a natural number $n$ in increasing order, starting with 1:
$$1=d_1\lt d_2\lt d_3\lt\cdots\lt n.$$
Determine all natural numbers $n$ satisfying
$$n=d_{13}+d_{14}+d_{15},\qquad (d_5+1)^3=d_{15}+1.$$
$$1=d_1\lt d_2\lt d_3\lt\cdots\lt n.$$
Determine all natural numbers $n$ satisfying
$$n=d_{13}+d_{14}+d_{15},\qquad (d_5+1)^3=d_{15}+1.$$