A276038 Numbers n such that product of digits of n is a power of 6.

1, 6, 11, 16, 23, 32, 49, 61, 66, 94, 111, 116, 123, 132, 149, 161, 166, 194, 213, 229, 231, 236, 263, 292, 312, 321, 326, 334, 343, 362, 389, 398, 419, 433, 469, 491, 496, 611, 616, 623, 632, 649, 661, 666, 694, 839, 893, 914, 922, 938, 941, 946, 964

Offset: 1

Author

Vincenzo Librandi, Aug 19 2016

Keywords

• nonn
• base

Examples

			946 is in the sequence because 9*4*6 = 216 = 6^3.
		

Links

• David A. Corneth, Table of n, a(n) for n = 1..11690 (Terms <= 10^6)

Crossrefs

Cf. similar sequences listed in A276037.

Cf. A199988.

Programs

Mathematica

Select[Range[20000], IntegerQ[Log[6, Times@@(IntegerDigits[#])]] &]

PARI

is(n) = my(d = vecsort(digits(n)), p = prod(i = 1, #d, d[i])); d[1] >= 1 && 6^logint(p, 6) == p \\ David A. Corneth, Jun 23 2018