A352699 Highly composite numbers that cease to be highly composite if divided by their largest prime factor.

24, 48, 360, 720, 7560, 10080, 15120, 20160, 25200, 45360, 50400, 332640, 665280, 10810800, 14414400, 17297280, 21621600, 32432400, 43243200, 1102701600, 2205403200, 27935107200, 48886437600, 73329656400, 97772875200, 146659312800, 293318625600, 1606268664000

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..1199

Example

24 itself is highly composite, but the largest prime factor of 24 is 3, and 24/3 = 8, which is not highly composite. So 24 is a term of this sequence.

Mathematica

With[{hcn = Cases[Import["https://oeis.org/A002182/b002182.txt", "Table"], {_, _}][[;; , 2]]}, Select[hcn, FreeQ[hcn, #/FactorInteger[#][[-1, 1]]] &, 28]] (* Amiram Eldar, Mar 13 2023 *)

Crossrefs

Cf. A002182, A006530, A052126, A272605.

Sequence in context: A269036 A268486 A288460 * A105844 A129837 A042140

Adjacent sequences: A352696 A352697 A352698 * A352700 A352701 A352702

Keyword

nonn

Author

J. Lowell, Mar 30 2022

Status

approved