Consider the function (the sum is taken over all positive divisors d of n). For example, if n = 6 f(n)=(d), dn Compute (13³.372). Type your answer... Σo(d) = σ(1) +σ(2) + 0(3) +σ(6) = 20. d|6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 25E
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Need help with these two difficult Intro to Elementary Number Theory Homework problems.

 

 

 

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...
How many positive integers n satisfy σ(n) = 18?
Type your answer...
Transcribed Image Text:How many positive integers n satisfy σ(n) = 18? Type your answer...
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