Define S: Z+ Z+ by the rule: For all integers n, S(n) =

Chapter 7, Problem 26E

(choose chapter or problem)

Problem 26E

Define S: Z+ → Z+ by the rule: For all integers n, S(n) = the sum of the positive divisors of n.

a. Is S one-to-one? Prove or give a counterexample.

b. Is S onto? Prove or give a counterexample.

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