3.3 For any n € N, let o(n) be the sum of the divisors of n; for example, o(6)=1+2+3+ 6 = 12 and o(10) = 1+2+5+ 10 = 18. Suppose that n = pqr with p, q, and r distinct primes. Devise an "efficient" algorithm that given n, (n) and o(n), computes the factorization of n. For example, if n = 105, then p = 3, q = 5, and r = 7, so the input to the algorithm would be n = 105, (n) = 48, and σ(n) 192, =

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