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

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

Author

N. J. A. Sloane

Keywords

• nonn
• base

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

Crossrefs

Cf. A003052, A005349.

Programs

Mathematica

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

Extensions

More terms from James Sellers, Jul 06 2000