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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

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

Advanced Engineering Mathematics
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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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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