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A274319 Numbers whose digit sum is divisible by 6.

0, 6, 15, 24, 33, 39, 42, 48, 51, 57, 60, 66, 75, 84, 93, 99, 105, 114, 123, 129, 132, 138, 141, 147, 150, 156, 165, 174, 183, 189, 192, 198, 204, 213, 219, 222, 228, 231, 237, 240, 246, 255, 264, 273, 279, 282, 288, 291, 297, 303, 309, 312, 318, 321, 327, 330, 336, 345, 354, 363, 369, 372, 378, 381

Offset: 1

Elana Lessing, Jun 17 2016

Numbers n such that A007953(n) is a term of A008588. - Felix Fröhlich, Aug 18 2016

Any term of the sequence is also a term of A008585. - Felix Fröhlich, Aug 18 2016

Cf. A007953.

int i = 0;
while(1){
   int sum = 0;
   int powerof10 = 10;
   int i2 = i;
   while(i2 != 0){
      sum += i2%powerof10;
      i2 /= 10;
      powerof10 *= 10;
   }
   if(sum%6 == 0) printf("%d\n", i);
   i++;
}

is(n)=my(d=digits(n));sum(k=1,#d,d[n])%6==0; \\ Joerg Arndt, Aug 18 2016

is(n)=sumdigits(n)%6==0 \\ Charles R Greathouse IV, Aug 18 2016

A273188 Numbers whose digit sum is divisible by 8.

Original entry on oeis.org

0, 8, 17, 26, 35, 44, 53, 62, 71, 79, 80, 88, 97, 107, 116, 125, 134, 143, 152, 161, 169, 170, 178, 187, 196, 206, 215, 224, 233, 242, 251, 259, 260, 268, 277, 286, 295, 305, 314, 323, 332, 341, 349, 350, 358, 367, 376, 385, 394, 404, 413, 422, 431, 439, 440, 448, 457, 466

Offset: 1

Elana Lessing, May 17 2016

Is a(n) ~ 8n? - David A. Corneth, May 19 2016

Elana Lessing, Table of n, a(n) for n = 1..10000

Cf. A062342 (subsequence of primes), A227793 (equivalent for 5).

Select[Range@ 600, Mod[Total@ IntegerDigits@ #, 8] == 0 &] (* Michael De Vlieger, May 19 2016 *)

isok(n) = sumdigits(n) % 8 == 0; \\ Michel Marcus, May 18 2016

A273159 Numbers whose digit sum is divisible by 7.

Original entry on oeis.org

0, 7, 16, 25, 34, 43, 52, 59, 61, 68, 70, 77, 86, 95, 106, 115, 124, 133, 142, 149, 151, 158, 160, 167, 176, 185, 194, 205, 214, 223, 232, 239, 241, 248, 250, 257, 266, 275, 284, 293, 304, 313, 322, 329, 331, 338, 340, 347, 356, 365, 374, 383, 392, 399, 403, 412, 419, 421, 428, 430, 437, 446, 455, 464

Offset: 1

Elana Lessing, May 16 2016

Elana Lessing, Table of n, a(n) for n = 1..10000

Cf. A007953.

Select[Range[0,500],Divisible[Total[IntegerDigits[#]],7]&] (* Harvey P. Dale, May 15 2019 *)

for(n=0,10^3,if(sumdigits(n)%7==0,print1(n,", "))); \\ Joerg Arndt, May 17 2016

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User: Elana Lessing

A274319 Numbers whose digit sum is divisible by 6.

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A273188 Numbers whose digit sum is divisible by 8.

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A273159 Numbers whose digit sum is divisible by 7.

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