Question

Do all terms $n$ of OEIS sequence A228059 have a $p$ with exponent $1$?

score 96 · Answer 1 · 2026-03-27 03:59:15

96

Views

Do all terms $n$ of OEIS sequence A228059 have a $p$ with exponent $1$?

Published on 27 Mar 2026 - 3:59

score 78 · Answer 2 · 2017-07-06 22:50:38

78

Views

Understanding Erdös' Claim on Aliquot Sequences

Published on 06 Jul 2017 - 22:50

score 504 · Answer 3 · 2017-07-07 04:05:18

504

Views

Power Summation Over the Divisor Function

Published on 07 Jul 2017 - 4:05

score 68 · Answer 4 · 2017-07-09 01:25:08

68

Views

Density of Unbounded Aliquot Sequences

Published on 09 Jul 2017 - 1:25

score 88 · Answer 5 · 2017-07-16 01:22:31

88

Views

On an identity involving the sum of divisors function and a finite subset of different even perfect numbers

Published on 16 Jul 2017 - 1:22

score 762 · Answer 6 · 2017-07-20 12:54:47

762

Views

Showing $\sigma(n!) < \frac{(n+1)!}{2}$

Published on 20 Jul 2017 - 12:54

score 144 · Answer 7 · 2017-07-20 18:10:03

144

Views

On $\frac{\sigma(n+1)}{p_{n+1}}-\frac{\sigma(n)}{p_{n}}$, where $p_k$ is the $kth$ prime number and $\sigma(k)$ the sum of divisors function

Published on 20 Jul 2017 - 18:10

score 298 · Answer 8 · 2017-07-21 09:15:34

298

Views

Estimates for Sum of Prime Factors and Number of Prime Factors

Published on 21 Jul 2017 - 9:15

score 145 · Answer 9 · 2026-03-27 04:03:30

145

Views

On the Descartes-Frenicle-Sorli conjecture and the Euler prime of odd perfect numbers

Published on 27 Mar 2026 - 4:03

score 156 · Answer 10 · 2026-03-29 10:48:08

156

Views

Which is the correct divisor when calculating an average of summed up squares

Published on 29 Mar 2026 - 10:48

score 596 · Answer 11 · 2017-08-13 17:19:37

596

Views

Best known upper bound for $\sigma(n)$

Published on 13 Aug 2017 - 17:19

score 49 · Answer 12 · 2017-08-27 04:20:15

49

Views

If $D(x)=2x-\sigma(x)$, then if $n>1$ is deficient which is bigger, $D(n)$ or $D(n^2)$?

Published on 27 Aug 2017 - 4:20

score 104 · Answer 13 · 2026-03-27 04:03:30

104

Views

If $q^k n^2$ is an odd perfect number with Euler prime $q$, which of the following relationships between $q^2$ and $n$ hold?

Published on 27 Mar 2026 - 4:03

score 169 · Answer 14 · 2017-09-07 17:33:30

169

Views

Existence of $n_1 \sigma(n_1) = n_2 \sigma(n_2) = \cdots = n_r \sigma(n_r)$ for any $r$

Published on 07 Sep 2017 - 17:33

score 46 · Answer 15 · 2017-09-09 11:36:54

46

Views

Is there a deficient $N$ such that $\sqrt{D(N)} \mid A(N)$ holds, where $D(N)$ is the deficiency and $A(N)$ is the sum of the aliquot parts of $N$?

Published on 09 Sep 2017 - 11:36

List Question

Do all terms $n$ of OEIS sequence A228059 have a $p$ with exponent $1$?

Understanding Erdös' Claim on Aliquot Sequences

Power Summation Over the Divisor Function

Density of Unbounded Aliquot Sequences

On an identity involving the sum of divisors function and a finite subset of different even perfect numbers

Showing $\sigma(n!) < \frac{(n+1)!}{2}$

On $\frac{\sigma(n+1)}{p_{n+1}}-\frac{\sigma(n)}{p_{n}}$, where $p_k$ is the $kth$ prime number and $\sigma(k)$ the sum of divisors function

Estimates for Sum of Prime Factors and Number of Prime Factors

On the Descartes-Frenicle-Sorli conjecture and the Euler prime of odd perfect numbers

Which is the correct divisor when calculating an average of summed up squares

Best known upper bound for $\sigma(n)$

If $D(x)=2x-\sigma(x)$, then if $n>1$ is deficient which is bigger, $D(n)$ or $D(n^2)$?

If $q^k n^2$ is an odd perfect number with Euler prime $q$, which of the following relationships between $q^2$ and $n$ hold?

Existence of $n_1 \sigma(n_1) = n_2 \sigma(n_2) = \cdots = n_r \sigma(n_r)$ for any $r$

Is there a deficient $N$ such that $\sqrt{D(N)} \mid A(N)$ holds, where $D(N)$ is the deficiency and $A(N)$ is the sum of the aliquot parts of $N$?

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