Let-n-be-the-sum-of-all-positive-divisors-of-the-integer-n-and-let-p-be-any-prime-number-Show-that-n-lt-2n-holds-true-for-all-n-of-the-form-n-p-2-Mastermind-

Question Number 174522 by Mastermind last updated on 03/Aug/22

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) < 2 n holds true

for all n of the form n = p^{2} .

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