# Sigma over Phi

Let $$\sigma(n)$$ be the sum of positive divisors of an integer $$n,$$ and $$\phi(n)$$ the number of positive integers smaller than $$n$$ that are coprime to $$n$$. If $$p$$ is a prime number, what is the maximum value of $$\frac{\sigma(p)}{\phi(p)}?$$

You may choose to read the following blog post on Euler's theorem.

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