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Math Help - Perfect Number Questions

  1. #1
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    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^k3p, where p is an odd prime.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Janu42 View Post
    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^k3p, where p is an odd prime.
    What have you tried? (Can you calculate \sigma(n) ?)
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