Define a function S: Z+ → Z+ as follows. For each positive integer n, let S(n) = the sum of the positive divisors of n.a.a. S(1) =b. S(9) =b.Let p be a prime number. What is S(p), with S as defined above? Explain your answer.

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Answered: Define a function S: Z+ → Z+ as…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Define a function S: Z+ → Z+ as follows. For each positive integer n, let S(n) = the sum of the positive divisors of n. a. a. S(1) = b. S(9) = b. Let p be a prime number. What is S(p), with S as defined above? Explain your answer.