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

1,2

Links

Alois P. Heinz, Table of n, a(n) for n = 1..64235

Example

466 is in the sequence because 4*6*6 = 144 = 12^2.

Mathematica

FromDigits /@ Select[Join @@ Map[Tuples[{1, 2, 3, 4, 6, 8, 9}, #] &, Range@4], IntegerQ@Log[12, Times @@ #] &]

Crossrefs

Cf. A284375, A002275, A028846, A174813, A284323, A276037, A276038, A276039, A284324, A284295, A328560.

Sequence in context: A250611 A137015 A260903 * A251268 A174223 A247466

Adjacent sequences: A316312 A316313 A316314 * A316316 A316317 A316318

Keyword

base,nonn

Author

Isaac Weiss and Henry Potts-Rubin, Jun 29 2018

Extensions

Two duplicate terms removed by Alois P. Heinz, Oct 20 2019

Status

approved