A316315 Numbers k such that the product of digits of k is a power of 12.
1, 11, 26, 34, 43, 62, 111, 126, 134, 143, 162, 216, 223, 232, 261, 289, 298, 314, 322, 341, 368, 386, 413, 431, 449, 466, 494, 612, 621, 638, 646, 664, 683, 829, 836, 863, 892, 928, 944, 982, 1111, 1126, 1134, 1143, 1162, 1216, 1223, 1232, 1261, 1289, 1298
Offset: 1
Examples
466 is in the sequence because 4*6*6 = 144 = 12^2.
Links
- Alois P. Heinz, Table of n, a(n) for n = 1..64235
Crossrefs
Programs
-
Mathematica
FromDigits /@ Select[Join @@ Map[Tuples[{1, 2, 3, 4, 6, 8, 9}, #] &, Range@4], IntegerQ@Log[12, Times @@ #] &]
Extensions
Two duplicate terms removed by Alois P. Heinz, Oct 20 2019