A003219 Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers). (Formerly M2405)

1, 3, 5, 7, 9, 20, 42, 108, 110, 132, 198, 209, 222, 266, 288, 312, 378, 400, 468, 512, 558, 648, 738, 782, 804, 828, 918, 1032, 1098, 1122, 1188, 1212, 1278, 1300, 1368, 1458, 1526, 1548, 1638, 1704, 1728, 1818, 1974, 2007, 2022, 2088, 2112, 2156, 2178

Offset

1,2

References

D. R. Kaprekar, Puzzles of the Self-Numbers. 311 Devlali Camp, Devlali, India, 1959.

D. R. Kaprekar, The Mathematics of the New Self Numbers (Part V). 311 Devlali Camp, Devlali, India, 1967.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

N. J. A. Sloane, Table of n, a(n) for n = 1..7045

Mathematica

Select[list=Range[2178]; Complement[list, Table[n+Total[IntegerDigits[n]], {n, list}]], IntegerQ[#/Total[IntegerDigits[#]]] &] (* Jayanta Basu, May 05 2013 *)

Crossrefs

Cf. A003052, A005349.

Sequence in context: A083107 A338637 A003052 * A030142 A179085 A076185

Adjacent sequences: A003216 A003217 A003218 * A003220 A003221 A003222

Keyword

nonn,base

Author

N. J. A. Sloane

Extensions

More terms from James A. Sellers, Jul 06 2000

Status

approved