Prove that that are no positive integers n such that 5n σ(n) = 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 33E
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Need help with these two Intro to Elementary Number Theory Homework problems. Make sure your handwriting is neat and readable.

 

 

Prove that that are no positive integers n such that
o(n)
=
| ལྦ་
Transcribed Image Text:Prove that that are no positive integers n such that o(n) = | ལྦ་
Consider the function
(the sum is taken over all positive divisors d of n). For example, if n = 6
f(n) = Σ σ(α),
3=
d❘n
Σo(d)=o(1)+(2) +σ(3) +σ(6) = 20.
d|6
Compute f(133 372).
Type your answer...
Transcribed Image Text:Consider the function (the sum is taken over all positive divisors d of n). For example, if n = 6 f(n) = Σ σ(α), 3= d❘n Σo(d)=o(1)+(2) +σ(3) +σ(6) = 20. d|6 Compute f(133 372). Type your answer...
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