A341176 Numbers that when divided by the sum of their digits leave 9 as remainder.

19, 57, 69, 93, 99, 109, 119, 129, 139, 149, 159, 165, 169, 179, 189, 199, 218, 237, 249, 256, 273, 275, 279, 294, 297, 309, 317, 339, 345, 369, 373, 381, 384, 387, 389, 416, 417, 429, 453, 457, 459, 474, 477, 485, 490, 495, 515, 519, 525, 527, 549, 561, 564

Offset

1,1

Links

Carole Dubois, Table of n, a(n) for n = 1..5001

Example

a(1) = 19 and 19 is 10*1 with remainder 9;
a(2) = 57 and 57 is 12*4 with remainder 9; etc.

Mathematica

Select[Range[600], Mod[#, Total[IntegerDigits[#]]]==9&] (* Harvey P. Dale, Feb 02 2022 *)

Prog

(PARI) isok(n) = n%sumdigits(n) == 9; \\ Michel Marcus, Feb 06 2021

Crossrefs

Cf. A005349 (Niven numbers: remainder = 0), A209871 (Quasi-Niven numbers: remainder = 1), A341169 to A341182 (remainders = 2 to 15).

Sequence in context: A362298 A367518 A093362 * A251073 A176413 A263336

Adjacent sequences: A341173 A341174 A341175 * A341177 A341178 A341179

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Status

approved