A356078 Highly composite numbers that are multiples of their number of divisors.

1, 2, 12, 24, 36, 60, 180, 240, 360, 720, 1260, 1680, 5040, 10080, 15120, 20160, 25200, 55440, 110880, 221760, 277200, 665280, 720720, 1441440, 2882880, 3603600, 8648640, 14414400, 32432400, 43243200, 61261200, 245044800, 551350800, 735134400, 1102701600, 2205403200

Offset: 1

Author

J. Lowell, Jul 25 2022

Keywords

• nonn

Comments

Conjecture: this sequence is finite. The prime factorization of the number of divisors of a large highly composite number usually has a high power of 2; this is not true of the number of divisors of a highly composite number itself.

Examples

			180 (in A002182) has 18 divisors, and 180/18 equals 10; so, 180 is in this sequence.
		

Crossrefs

Intersection of A002182 and A033950.

Cf. A002183.

Extensions

More terms from Amiram Eldar, Jul 25 2022