A218291 Multiples of 6 such that the sum of their digits is also a multiple of 6.

6, 24, 42, 48, 60, 66, 84, 114, 132, 138, 150, 156, 174, 192, 198, 204, 222, 228, 240, 246, 264, 282, 288, 312, 318, 330, 336, 354, 372, 378, 390, 396, 402, 408, 420, 426, 444, 462, 468, 480, 486, 510, 516, 534, 552, 558, 570, 576, 594, 600, 606, 624, 642, 648

Offset: 1

Author

Bruno Berselli, Oct 25 2012

Keywords

• nonn
• base
• easy

Examples

			48 is a multiple of 6, and 4+8=12 is also a multiple of 6.
		

Links

• Bruno Berselli, Table of n, a(n) for n = 1..1000

Crossrefs

Subsequence of A179082.

Cf. multiples of k with digit sum divisible by k: A008585 (k=3), A008591 (k=9), A062753 (k=4), A179082 (k=2), A216994 (k=7), A216995 (k=11), A216997 (k=8), A218290 (k=5), A218292 (k=10).

Programs

Magma

[n: n in [6..700 by 6] | IsZero(&+Intseq(n) mod 6)];

Mathematica

Select[ Range[6, 700, 6], Mod[ Total[ IntegerDigits[#]], 6] == 0 &] (* Jean-François Alcover, Oct 26 2012 *)