A036484 a(n) is the minimal number of binary order n which has maximal number of divisors in this interval.

1, 2, 4, 6, 12, 24, 60, 120, 240, 360, 840, 1680, 2520, 7560, 15120, 27720, 55440, 110880, 221760, 498960, 720720, 1441440, 3603600, 7207200, 14414400, 32432400, 61261200, 122522400, 245044800, 367567200, 735134400, 2095133040

Offset: 0

Author

Labos Elemer

Keywords

• nonn
• more

Comments

Compare with A007416, where terms of this sequence are present.

Examples

			For n=9, with 256 < k <= 512, d(k) takes 17 distinct values, of which d(k)=24 is the greatest (see A036451 and A036470) and occurs first at k=360, so a(9)=360.
		

Crossrefs

Cf. A000005, A029837, A005179, A007416, A036470, A036492, A036493.

Programs

Mathematica

Block[{nn = 22, s}, s = TakeList[Array[DivisorSigma[0, # + 1] &, 2^nn - 1], 2^Range[0, nn - 1]]; {1}~Join~Map[2^(#1 - 1) + #2 & @@ FirstPosition[s, #] &, Map[Max, s]]] (* Michael De Vlieger, Nov 04 2020 *)

Extensions

a(22)-a(31) from Sean A. Irvine, Nov 04 2020