List questions from divisor-sum

Published on 25 Mar 2026 - 9:21

90

Views

A question on the truth of a conjectured biconditional

Published on 12 Feb 2015 - 12:21

98

Views

Application: Sum of Digits

Published on 28 Mar 2026 - 23:10

102

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A question related to the sum-of-divisors function

Published on 26 Mar 2026 - 15:17

831

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Infinite number of pairs of distinct integers $(m,n)$ such that $\sigma(m^2)=\sigma(n^2)$

Published on 15 Mar 2015 - 6:08

73

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For what positive integers is this number-theoretic equation true?

Published on 25 Mar 2015 - 6:55

134

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On Descartes numbers

Published on 25 Mar 2015 - 8:55

103

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On odd perfects and spoofs

Published on 26 Mar 2026 - 16:57

72

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Proving associativity of product of two formal sums $\sum_{n = 1}^{\infty} \frac{a_n}{n^x}$

Published on 27 Mar 2015 - 18:14

98

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Number of bounded divisors of an integer

Published on 01 Apr 2015 - 8:43

72

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On odd perfect numbers $N$ given in the Eulerian form $N = {q^k}{n^2}$, Part II

Published on 26 Mar 2026 - 16:56

425

Views

Number Theory : Show that $\sigma(n)$ $=$ $2n$ for $n$ $=$ $(2^{m-1})$ $(2^{m} -1)$

Published on 06 Apr 2015 - 5:46

116

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How prove $\sigma(4^p-1)<(2^{p+1}-1)^2$

Published on 09 Apr 2015 - 7:29

253

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Basic question about modular arithmetic applied to the divisor sum function $\sigma(n)$ when $n=5p$

Published on 24 Apr 2015 - 4:12

5.8k

Views

How to Find the smallest integer with exactly N odd divisors.

Published on 07 May 2015 - 4:44

List Question

A number $n$ which is the sum of all numbers $k$ with $\sigma(k)=n$?

A question on the truth of a conjectured biconditional

Application: Sum of Digits

A question related to the sum-of-divisors function

Infinite number of pairs of distinct integers $(m,n)$ such that $\sigma(m^2)=\sigma(n^2)$

For what positive integers is this number-theoretic equation true?

On Descartes numbers

On odd perfects and spoofs

Proving associativity of product of two formal sums $\sum_{n = 1}^{\infty} \frac{a_n}{n^x}$

Number of bounded divisors of an integer

On odd perfect numbers $N$ given in the Eulerian form $N = {q^k}{n^2}$, Part II

Number Theory : Show that $\sigma(n)$ $=$ $2n$ for $n$ $=$ $(2^{m-1})$ $(2^{m} -1)$

How prove $\sigma(4^p-1)<(2^{p+1}-1)^2$

Basic question about modular arithmetic applied to the divisor sum function $\sigma(n)$ when $n=5p$

How to Find the smallest integer with exactly N odd divisors.

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