4) Let n 2 2 be an integer, such that 2" – 1 is prime number (e.g. if n = 7 then 2" – 1 = 127 is a prime number). Show that then the sum of all positive divisors of m = 2"-1.(2" – 1) is equal 2" · (2" – 1). Is this also true for all other n 2 2 (for which 2" – 1 is not prime)?

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Introduction :

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