# Math Help - Perfect Number Questions

1. ## Perfect Number Questions

1) Show that if n = $p^aq^b$, where p and q are distinct odd primes and a and b are positive integers, then n is deficient.

(n is deficient if $\sigma(n) < 2n$)

2) Find all 3-perfect numbers of the form n = $2^k$3p, where p is an odd prime.

2. Originally Posted by Janu42
1) Show that if n = $p^aq^b$, where p and q are distinct odd primes and a and b are positive integers, then n is deficient.

(n is deficient if $\sigma(n) < 2n$)

2) Find all 3-perfect numbers of the form n = $2^k$3p, where p is an odd prime.
What have you tried? (Can you calculate $\sigma(n)$ ?)