## Related questions with answers

Question

If n is a perfect number, prove that $\sum_{d \mid n} l / d=2$.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2Since the divisors of a number arise in pairs, in other words $d|n$ if and only if $\frac{n}{d}|n$. We have

$\begin{aligned} \sum_{d|n}\frac{n}{d}=\sum_{d|n}d. \end{aligned}$

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