The numbers m from sequence S000891.
1, 4, 12, 24, 36, 60, 120, 180, 192, 240, 360, 576, 720, 840, 900, 1260, 1296, 1680, 2520, 2880, 3600, 5040, 6300, 6480, 6720, 7560, 9216, 10080, 15120, 15360, 20160, 25200, 25920, 27720, 32400, 44100, 45360, 46080, 50400, 55440, 60480, 61440, 83160, 100800
1
As expected these numbers have many small factors. The first number having n prime factors is 1, 12, 60, 840, 27720, 720720, which appears very similar to sequence A086332.
T. D. Noe, Plot of 106 terms
T. D. Noe, Table of 106 terms
(Mma) nn = 10^6; t1 = Table[0, {Floor[Sqrt[nn]]}]; t2 = {}; found = 0; Do[c = Length[Select[Divisors[n], # <= Sqrt[n] &]]; If[c > 0 && c <= nn && t1[[c]] == 0, t1[[c]] = n; AppendTo[t2, {n, c}]; found++], {n, nn}]; Transpose[t2][[1]]
Cf. A038549, A086332, S000891-S000896.
nonn
T. D. Noe, May 19 2016