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Suppose n is a positive integer satisfying σ(n) = 8n. Use this information to compute (the sum is taken over all positive divisors d of n). For example, if n = 6 Hint: algebraically manipulate σ(n) = 8n to get Σdn Type your answer... d/n 1 1 1 1+ + + 3

Suppose n is a positive integer satisfying σ(n) = 8n. Use this information to compute (the sum is taken over all positive divisors d of n). For example, if n = 6 Hint: algebraically manipulate σ(n) = 8n to get Σdn Type your answer... d/n 1 1 1 1+ + + 3

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 Intro to Elementary Number Theory Homework problems.

 

21 d + 2 Suppose n is a positive integer satisfying a(n) = 8n. Use this information to compute (the sum is taken over all positive divisors d of n). For example, if n = 6 Σ d\n Hint: algebraically manipulate σ(n) = 8n to get Σan Type your answer... d|6 13 + + 16
Transcribed Image Text:21 d + 2 Suppose n is a positive integer satisfying a(n) = 8n. Use this information to compute (the sum is taken over all positive divisors d of n). For example, if n = 6 Σ d\n Hint: algebraically manipulate σ(n) = 8n to get Σan Type your answer... d|6 13 + + 16
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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