A216997 Multiples of 8 that have a digit sum which is a multiple of 8.

8, 80, 88, 152, 224, 376, 440, 448, 512, 592, 664, 736, 800, 808, 880, 888, 952, 1016, 1096, 1160, 1168, 1232, 1304, 1384, 1456, 1520, 1528, 1672, 1744, 1816, 1896, 1960, 1968, 2024, 2176, 2240, 2248, 2312, 2392, 2464, 2536, 2600, 2608, 2680, 2688, 2752, 2824

Offset

1,1

Comments

Between a(5) and a(6) there are 151 terms that does not satisfy the property. [Bruno Berselli, Oct 26 2012]

Links

Table of n, a(n) for n=1..47.

Example

376 = 8*47 and 3+7+6 = 16 = 8*2.

Mathematica

Select[8*Range[400], Mod[Total[IntegerDigits[#]], 8] == 0 &] (* T. D. Noe, Sep 24 2012 *)

Prog

(JavaScript)
function sumarray(arr) {
t=0;
for (i=0; i<arr.length; i++) t+=arr[i];
return t;
}
k=8;
for(s=1; s<1000; s++) {
a=new Array();
x=(s*k).toString();
for (j=0; j<x.length; j++) a[j]=Number(x.charAt(j));
if (sumarray(a)%k==0) document.write(s*k+", ");
}

Crossrefs

Cf. A216994, A216995, A216996, A216998, A217009.

Sequence in context: A069022 A217401 A077333 * A062900 A204095 A061477

Adjacent sequences: A216994 A216995 A216996 * A216998 A216999 A217000

Keyword

nonn,base

Author

Jon Perry, Sep 22 2012

Status

approved