Given a function $f(x)$ If $x$ is prime then $f(x) = x$ Else $f(x) =$ sum of all f(divisors of x except 1 and itself)
Example: $f(12) = f(6) + f(4) + f(3) + f(2)$ $= f(3) + f(2) + f(2) + 3 + 2 = 3 + 2 + 2 + 3 + 2 = 12$
Given distinct three prime integers a, b, c and a positive integer $n$ What is $p$ in terms of $n$ in: $f((a*b*c)^n) = p(a + b + c)$
Example: $n = 1, p = 3$ $f(abc) = f(ab) + f(ac) + f(bc) + f(a) + f(b) + f(c)$ $=3(a + b + c)$