Question

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

score 1.9k · Answer 1 · 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 3.3k · Answer 2 · 2026-03-26 01:03:34

3.3k

Views

Can someone help me prove that $\tau(n)$ is odd iff $n$ is a perfect square.

Published on 26 Mar 2026 - 1:03

score 28.9k · Answer 3 · 2026-04-12 19:17:50

28.9k

Views

Product of Divisors of some $n$ proof

Published on 12 Apr 2026 - 19:17

score 416 · Answer 4 · 2026-04-26 01:20:59

416

Views

$d(n)$ is odd iff $n = k^2$

Published on 26 Apr 2026 - 1:20

score 69 · Answer 5 · 2026-03-26 01:04:35

69

Views

Find an $n$ not a power of a prime such that $n$ has 51 positive divisors

Published on 26 Mar 2026 - 1:04

score 63 · Answer 6 · 2026-03-26 01:03:27

63

Views

proofs of $n\sum_{d|n}\frac{(-1)^{d+1}}{d}=\sum_{d|n,d \text{ odd}}d$

Published on 26 Mar 2026 - 1:03

score 132 · Answer 7 · 2026-03-26 01:06:20

132

Views

Analogue to superior highly composite numbers for the unitary divisor function

Published on 26 Mar 2026 - 1:06

score 670 · Answer 8 · 2026-04-13 10:39:24

670

Views

Can two integers have the same product of divisors?

Published on 13 Apr 2026 - 10:39

score 100 · Answer 9 · 2026-03-26 01:03:28

100

Views

Number of Divisors of most numbers

Published on 26 Mar 2026 - 1:03

score 952 · Answer 10 · 2026-05-11 08:37:35

952

Views

Euler's totient and divisors count function relationship when $[(\frac{\varphi(n)}{2}+1)\cdot(\frac{\tau(n)}{2}+1)] = n$

Published on 11 May 2026 - 8:37

score 664 · Answer 11 · 2026-03-26 01:08:04

664

Views

Numbers having in decimal representation no common digits with all their proper divisors

Published on 26 Mar 2026 - 1:08

score 176 · Answer 12 · 2026-03-26 01:04:31

176

Views

Show $\forall\varepsilon>0\,\lim_{n\to\infty}\frac{\#\{\text{positive divisors of n}\}}{n^\varepsilon}=0$

Published on 26 Mar 2026 - 1:04

score 39 · Answer 13 · 2026-03-26 01:03:31

39

Views

Number Theoretic Sum of three variables. Having trouble isolating two of them.

Published on 26 Mar 2026 - 1:03

score 532 · Answer 14 · 2026-03-26 01:04:42

532

Views

Probability a string has $2$ digits, $4$ consonants, and $1$ vowel, given a length of $7$ w/o repetition

Published on 26 Mar 2026 - 1:04

score 2.5k · Answer 15 · 2026-05-11 08:41:09

2.5k

Views

Number theory proof for why $\tau$, the number of divisors of $n$ is multiplicative

Published on 11 May 2026 - 8:41

List Question

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

Can someone help me prove that $\tau(n)$ is odd iff $n$ is a perfect square.

Product of Divisors of some $n$ proof

$d(n)$ is odd iff $n = k^2$

Find an $n$ not a power of a prime such that $n$ has 51 positive divisors

proofs of $n\sum_{d|n}\frac{(-1)^{d+1}}{d}=\sum_{d|n,d \text{ odd}}d$

Analogue to superior highly composite numbers for the unitary divisor function

Can two integers have the same product of divisors?

Number of Divisors of most numbers

Euler's totient and divisors count function relationship when $[(\frac{\varphi(n)}{2}+1)\cdot(\frac{\tau(n)}{2}+1)] = n$

Numbers having in decimal representation no common digits with all their proper divisors

Show $\forall\varepsilon>0\,\lim_{n\to\infty}\frac{\#\{\text{positive divisors of n}\}}{n^\varepsilon}=0$

Number Theoretic Sum of three variables. Having trouble isolating two of them.

Probability a string has $2$ digits, $4$ consonants, and $1$ vowel, given a length of $7$ w/o repetition

Number theory proof for why $\tau$, the number of divisors of $n$ is multiplicative

Trending Questions

Popular # Hahtags

Popular Questions