The harmonic mean H (n) of the divisors of a positive integer n is defined by the
Chapter 11, Problem 15(choose chapter or problem)
The harmonic mean H (n) of the divisors of a positive integer n is defined by the formula1 1 1H(n)-r(n) dShow that if n is a perfect number, then H (n) must be an integer.[Hint: Observe that H(n) = nr(n)/cr(n).]
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