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A352699
Highly composite numbers that cease to be highly composite if divided by their largest prime factor.
1
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
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
KEYWORD
nonn
AUTHOR
J. Lowell, Mar 30 2022
STATUS
approved