Harmonic Mean Definition

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is harmonic mean ? disscus about n harmonic mean between a a... | Filo

Solution For is harmonic mean ? disscus about n harmonic mean between a and b

askfilo.com5.6K viewsDec 2, 2022

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$SOLVED:The harmonic mean H(n) of the divisors of a positive integer n is defined by the formula \frac{1}{H(n)}=\frac{1}{\tau(n)} \sum_{d \mid n} \frac{1}{d} Show that if n is a perfect number, then H(n) must be an integer. [Hint: Observe that H(n)=n \tau(n) / \sigma(n) .]$