A369151 Numbers with a record high excess of even over odd divisors; so indices of record lows in A048272.

1, 2, 4, 8, 16, 24, 48, 96, 144, 192, 240, 480, 720, 960, 1440, 2880, 3360, 5040, 6720, 10080, 20160, 30240, 40320, 60480, 80640, 100800, 110880, 181440, 201600, 221760, 332640, 443520, 665280, 887040, 1108800, 1330560, 1995840, 2217600, 2661120, 2882880, 4324320, 5765760, 8648640, 11531520, 14414400

Offset: 1

Author

Keith F. Lynch, Jan 14 2024

Keywords

• nonn

Comments

Every term is the product of primorials, i.e., this is a subsequence of A025487, i.e., no prime factor of any term has a lower exponent than the following prime has.

Examples

			24 is a term because 24 has 6 even divisors, {2,4,6,8,12,24}, and 2 odd divisors, {1,3}, giving a difference of 4, more than that of any number less than 24.
		

Links

• Keith F. Lynch, Table of n, a(n) for n = 1..48

Crossrefs

Cf. A048272.

Formula

If n > 2, a(n) = 2*A181808(n-2) = 4*A002182(n-2).