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

Author

J. Lowell, Mar 30 2022

Keywords

• nonn

Examples

			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.
		

Links

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

Crossrefs

Cf. A002182, A006530, A052126, A272605.

Programs

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 *)