A354216 Highly composite numbers (A002182) whose number of divisors is not a multiple of 3.

1, 2, 6, 24, 48, 120, 240, 840, 1680, 7560, 15120, 45360, 83160, 166320, 498960, 665280, 1081080, 2162160, 6486480, 8648640, 17297280, 36756720, 110270160, 147026880, 294053760, 698377680, 2095133040, 2793510720, 5587021440, 64250746560, 128501493120, 1606268664000

Offset: 1

Author

J. Lowell, May 19 2022

Keywords

• nonn

Comments

Is this sequence finite? (Note that any number divisible by p^2 but not by p^3 has a number of divisors divisible by 3.)

Among the first 10^5 terms of A002182, A002182(163) = 4381203794791824000 is the largest one that is a term of this sequence.

Examples

			48 is a highly composite number and it has 10 divisors and 10 is not a multiple of 3, so 48 is a term of this sequence.
		

Crossrefs

Cf. A002182, A002183.

Extensions

More terms from Amiram Eldar, May 19 2022