Define a function S: Z+ → Z+ as follows: For each positive integer n, S(n) = the sum of the positive divisors of n. Find the following: a. S(1) d. S(5) b. S(15) c. S(17) f. S(21) e. S(18)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 25E: 25. Let, where and are non empty, and let and be subsets of . Prove that. Prove that. Prove...
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19.
Define a function S: Z+ → Z+ as follows: For each
positive integer n,
S(n) = the sum of the positive divisors of n.
Find the following:
b. S(15)
a. S(1)
d. S(5)
c. S(17)
f. S(21)
e. S(18)
Transcribed Image Text:19. Define a function S: Z+ → Z+ as follows: For each positive integer n, S(n) = the sum of the positive divisors of n. Find the following: b. S(15) a. S(1) d. S(5) c. S(17) f. S(21) e. S(18)
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