There Can Be Infinitely Many
Number Theory
Level
5
A positive integer \(n\) is called sacred if it is divisible by all odd integers \(a\) for which \(n \geq a^2\). Determine the sum of all sacred numbers.
As an arbitrary example, \(n=15\) is sacred because it is divisible by \(1\) and \(3\).
Problem Credit : A teacher.
by
Satvik Golechha