Question

Is every perfect number triangular?

score 221 · Answer 1 · 2020-04-23 18:09:51

221

Views

Is every perfect number triangular?

Published on 23 Apr 2020 - 18:09

score 52 · Answer 2 · 2020-04-24 11:18:55

52

Views

Question about a result on odd perfect numbers - Part II

Published on 24 Apr 2020 - 11:18

score 71 · Answer 3 · 2020-04-25 05:11:18

71

Views

An unusual pattern associated with perfect number

Published on 25 Apr 2020 - 5:11

score 119 · Answer 4 · 2020-05-08 18:22:22

119

Views

Suppose $n$ is an odd perfect number then it exists $p$ such that $\frac{n}{p}$ is a square

Published on 08 May 2020 - 18:22

score 303 · Answer 5 · 2026-02-24 02:10:22

303

Views

The relation with Perfect numbers , Triangular Numbers and Cyclops numbers

Published on 24 Feb 2026 - 2:10

score 287 · Answer 6 · 2020-05-25 06:53:35

287

Views

On odd perfect numbers and a GCD - Part III

Published on 25 May 2020 - 6:53

score 510 · Answer 7 · 2020-06-29 04:06:06

510

Views

If $N = q^k n^2$ is an odd perfect number with special prime $q$, then can $N$ be of the form $q^k \cdot (\sigma(q^k)/2) \cdot {n}$?

Published on 29 Jun 2020 - 4:06

score 70 · Answer 8 · 2020-07-04 04:47:18

70

Views

Reference request - Online copy of T. N. Sinha's "Note on perfect numbers"?

Published on 04 Jul 2020 - 4:47

score 95 · Answer 9 · 2020-07-12 13:17:32

95

Views

Does $k=1$ follow from $I(5^k)+I(m^2) \leq \frac{43}{15}$, if $p^k m^2$ is an odd perfect number with special prime $p=5$?

Published on 12 Jul 2020 - 13:17

score 125 · Answer 10 · 2026-03-25 09:10:55

125

Views

On the abundancy index of divisors of odd perfect numbers and a possible upper bound for the special/Euler prime

Published on 25 Mar 2026 - 9:10

score 40 · Answer 11 · 2020-07-16 16:32:21

40

Views

Are there numbers that have loop of 3 or more when adding their factors?

Published on 16 Jul 2020 - 16:32

score 58 · Answer 12 · 2020-07-22 10:07:39

58

Views

On odd perfect numbers $q^k n^2$ and the deficient-perfect divisor $q^{\frac{k-1}{2}} n^2$

Published on 22 Jul 2020 - 10:07

score 47 · Answer 13 · 2016-07-07 15:33:07

47

Views

If $N = q^k n^2$ is an odd perfect number, is it possible to have $I(n^2) = I(q^k) + c$, for some constant $c > 0$?

Published on 07 Jul 2016 - 15:33

score 131 · Answer 14 · 2016-07-11 11:14:08

131

Views

Can an odd perfect number be divisible by either $2049$ or $2051$?

Published on 11 Jul 2016 - 11:14

score 96 · Answer 15 · 2016-07-14 00:39:36

96

Views

If $L > 1$ is an odd almost perfect number with $\omega(L)=6$, then $L$ must be divisible by $3$.

Published on 14 Jul 2016 - 0:39

List Question

Is every perfect number triangular?

Question about a result on odd perfect numbers - Part II

An unusual pattern associated with perfect number

Suppose $n$ is an odd perfect number then it exists $p$ such that $\frac{n}{p}$ is a square

The relation with Perfect numbers , Triangular Numbers and Cyclops numbers

On odd perfect numbers and a GCD - Part III

If $N = q^k n^2$ is an odd perfect number with special prime $q$, then can $N$ be of the form $q^k \cdot (\sigma(q^k)/2) \cdot {n}$?

Reference request - Online copy of T. N. Sinha's "Note on perfect numbers"?

Does $k=1$ follow from $I(5^k)+I(m^2) \leq \frac{43}{15}$, if $p^k m^2$ is an odd perfect number with special prime $p=5$?

On the abundancy index of divisors of odd perfect numbers and a possible upper bound for the special/Euler prime

Are there numbers that have loop of 3 or more when adding their factors?

On odd perfect numbers $q^k n^2$ and the deficient-perfect divisor $q^{\frac{k-1}{2}} n^2$

If $N = q^k n^2$ is an odd perfect number, is it possible to have $I(n^2) = I(q^k) + c$, for some constant $c > 0$?

Can an odd perfect number be divisible by either $2049$ or $2051$?

If $L > 1$ is an odd almost perfect number with $\omega(L)=6$, then $L$ must be divisible by $3$.

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