A062753 Multiples of 4 whose sum of digits is also a multiple of 4.

4, 8, 40, 44, 48, 80, 84, 88, 112, 116, 152, 156, 192, 196, 220, 224, 228, 260, 264, 268, 332, 336, 372, 376, 400, 404, 408, 440, 444, 448, 480, 484, 488, 512, 516, 552, 556, 592, 596, 620, 624, 628, 660, 664, 668, 732, 736, 772, 776, 800, 804, 808, 840, 844

Offset: 1

Author

Lisa O Coulter (lisa_coulter(AT)my-deja.com), Jul 15 2001

Keywords

• easy
• nonn
• base

Comments

Sequence is infinite since 4*10^k, k>=0 is a subsequence. - Michel Marcus, Jun 29 2018

Examples

			44 is a term of the sequence since 4 + 4 = 8 which is also a multiple of 4;
112 is a term of the sequence since 1 + 1 + 2 = 4 and 4 is obviously a multiple of 4.
8 is a multiple of 4. Numbers having digitsum 8 and are divisible by 4 below 1000 are: {8, 44, 80, 116, 152, 224, 260, 332, 404, 440, 512, 620, 800}. - _David A. Corneth_, Jun 29 2018
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..10000 (first 1001 terms from Harry J. Smith)

Crossrefs

Subsequence of A008586.

Programs

Mathematica

Select[4 Range[250], Mod[Plus @@ IntegerDigits@ #, 4] == 0 &] (* Giovanni Resta, Jun 29 2018 *)

PARI

{ forstep (a=4, 10^3, 4, if (sumdigits(a)%4 == 0, print1(a, ", "))) } \\ Harry J. Smith, Aug 10 2009

Formula

Is a(n) ~ 16*n? - David A. Corneth, Jun 29 2018

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Jul 24 2001

Offset set to 1 by Giovanni Resta, Jun 29 2018