A371953 Weird numbers whose abundance is a weird number with weird abundance (A371952).

13516958630, 13662237610, 14483820470, 16161187910, 16266406870, 17187072770, 17779204310, 18055129190, 19265719130, 20027984690, 20291032090, 20945054548, 21036318170, 21395831170, 21983936030, 22134086030, 22335605390, 23837897510, 24709171970, 25630894310, 26286582910

Offset

1,1

Comments

Terms k of A006037 such that A033880(k) and A033880(A033880(k)) are also terms of A006037.

Are there numbers k such that k, A033880(k), A033880(A033880(k)), and A033880(A033880(A033880(k))) are all terms of A006037? There are none below 10^11.

Links

Amiram Eldar, Table of n, a(n) for n = 1..146 (terms below 10^11)

Wikipedia, Weird number.

Example

13516958630 is a term because it is a weird number, A033880(13516958630) = sigma(13516958630) - 2*13516958630 = 833308916 is a weird number, and A033880(833308916) = sigma(833308916) - 2*833308916 = 7975928 is also a weird number.

Crossrefs

Subsequence of A006037, A371920 and A371952.

Cf. A000203 (sigma), A033880 (abundance).

Sequence in context: A113639 A059122 A102567 * A016932 A016992 A017160

Adjacent sequences: A371950 A371951 A371952 * A371954 A371955 A371956

Keyword

nonn

Author

_Amiram Eldar_, Apr 14 2024

Status

approved