Question

Maxima of the Sum of Divisors Function and Upper Bound of a similar Ratio

score 33 · Answer 1 · 2024-02-03 16:16:26

33

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Maxima of the Sum of Divisors Function and Upper Bound of a similar Ratio

Published on 03 Feb 2024 - 16:16

score 37 · Answer 2 · 2024-02-17 15:33:59

37

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The number of positive divisors of a number that are not present in another number.

Published on 17 Feb 2024 - 15:33

score 46 · Answer 3 · 2026-03-26 01:12:36

46

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Solutions of equations of form $\tau(n+a_i)=\tau(x+a_i)$ where $\tau$ is the number of divisors function and $a_i$ is a diverging series

Published on 26 Mar 2026 - 1:12

score 93 · Answer 4 · 2026-03-27 21:36:27

93

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Upper bounds on the greatest common divisor of sums of geometric series

Published on 27 Mar 2026 - 21:36

score 56 · Answer 5 · 2026-03-25 23:42:20

56

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On the "efficiency" of digit-sum divisibility tricks in other bases (or about the growth rate of the number of divisors function).

Published on 25 Mar 2026 - 23:42

score 30 · Answer 6 · 2024-03-03 05:57:48

30

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Proof for the sum and number of positive divisors for a positive integer $n$.

Published on 03 Mar 2024 - 5:57

score 47 · Answer 7 · 2026-03-26 15:17:18

47

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patterns in the abundancy index of integers

Published on 26 Mar 2026 - 15:17

score 198 · Answer 8 · 2024-03-24 06:16:45

198

Views

Divisors Sum Related Interesting Approximate Relation

Published on 24 Mar 2024 - 6:16

score 542 · Answer 9 · 2026-03-26 09:17:38

542

Views

Improving the inequality $x\sigma_1(x) \leq \sigma_1(x^2)$ for $x \in \mathbb{N}$

Published on 26 Mar 2026 - 9:17

score 903 · Answer 10 · 2026-03-27 10:46:07

903

Views

Identity with nested sum taken over divisors of $\gcd$'s

Published on 27 Mar 2026 - 10:46

score 187 · Answer 11 · 2015-01-16 21:52:38

187

Views

A simple lemma on divisors...

Published on 16 Jan 2015 - 21:52

score 2.2k · Answer 12 · 2026-02-23 21:38:14

2.2k

Views

John and Gary are playing a game. John spins a spinner numbered with integers from 1 to 20.

Published on 23 Feb 2026 - 21:38

score 142 · Answer 13 · 2015-01-23 19:43:00

142

Views

What proportion of the positive integers satisfy this number-theoretic inequality?

Published on 23 Jan 2015 - 19:43

score 1.9k · Answer 14 · 2026-03-26 01:04:32

1.9k

Views

The number of divisors of a number whose sum of divisors is a perfect square

Published on 26 Mar 2026 - 1:04

score 48 · Answer 15 · 2015-01-27 14:30:05

48

Views

On Inequality Concerning Deficient Numbers

Published on 27 Jan 2015 - 14:30

List Question

Maxima of the Sum of Divisors Function and Upper Bound of a similar Ratio

The number of positive divisors of a number that are not present in another number.

Solutions of equations of form $\tau(n+a_i)=\tau(x+a_i)$ where $\tau$ is the number of divisors function and $a_i$ is a diverging series

Upper bounds on the greatest common divisor of sums of geometric series

On the "efficiency" of digit-sum divisibility tricks in other bases (or about the growth rate of the number of divisors function).

Proof for the sum and number of positive divisors for a positive integer $n$.

patterns in the abundancy index of integers

Divisors Sum Related Interesting Approximate Relation

Improving the inequality $x\sigma_1(x) \leq \sigma_1(x^2)$ for $x \in \mathbb{N}$

Identity with nested sum taken over divisors of $\gcd$'s

A simple lemma on divisors...

John and Gary are playing a game. John spins a spinner numbered with integers from 1 to 20.

What proportion of the positive integers satisfy this number-theoretic inequality?

The number of divisors of a number whose sum of divisors is a perfect square

On Inequality Concerning Deficient Numbers

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