Suppose n is a positive integer satisfying σ(n) = 10n. Use this information to compute (the sum is taken over all positive divisors d of n). For example, if n = 6 d\n 1 1 1 =1+ + + 3 6 d|6 Hint: algebraically manipulate(n) = 10n to get Σ Type your answer...

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 28E: Let and be positive integers. If and is the least common multiple of and , prove that . Note...
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Suppose n is a positive integer satisfying a(n):
=
10n. Use this information to compute
d❘n
(the sum is taken over all positive divisors d of n). For example, if n = 6
Hint: algebraically manipulate σ(n) =10n to getdim.
Type your answer...
+
+
d
2 3 6
d|6
Transcribed Image Text:Suppose n is a positive integer satisfying a(n): = 10n. Use this information to compute d❘n (the sum is taken over all positive divisors d of n). For example, if n = 6 Hint: algebraically manipulate σ(n) =10n to getdim. Type your answer... + + d 2 3 6 d|6
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