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
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.

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

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