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

Author

Elana Lessing, Jun 17 2016

Keywords

• base
• nonn
• easy

Comments

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

Crossrefs

Cf. A007953.

Programs

C

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++;
}

PARI

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

PARI

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