1) Show that ifn= $\displaystyle p^aq^b$, wherepandqare distinct odd primes andaandbare positive integers, thennis deficient.

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

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