Show the wanted prove.

[mahmoud.galib]

Let σ(n) be the sum of all positive divisors of the integer n and let p be any prime number. Show that σ(n)<2n holds true for all n of the form n = p

 

[Deleted member 4993]

Let σ(n) be the sum of all positive divisors of the integer n and let p be any prime number. Show that σ(n)<2n holds true for all n of the form n = p

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[Dr.Peterson]

Let σ(n) be the sum of all positive divisors of the integer n and let p be any prime number. Show that σ(n)<2n holds true for all n of the form n = p

You are to show that σ(p)<2p. What are the positive divisors of p?