A341178 Numbers that when divided by the sum of their digits leave 11 as remainder.

76, 95, 187, 193, 347, 368, 427, 473, 475, 544, 619, 661, 674, 676, 725, 763, 827, 847, 851, 907, 977, 980, 1129, 1189, 1195, 1229, 1246, 1286, 1339, 1355, 1363, 1439, 1480, 1481, 1483, 1592, 1598, 1607, 1627, 1714, 1733, 1745, 1771, 1831, 1873, 1915, 1991, 1999

Offset

1,1

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000 (terms 1..5001 from Carole Dubois).

Example

a(1) = 76 and 76 is 13*5 with remainder 11;
a(2) = 95 and 95 is 14*6 with remainder 11; etc.

Mathematica

A341178Q[k_] := Mod[k, Total[IntegerDigits[k]]] == 11;
Select[Range[2000], A341178Q] (* Paolo Xausa, Dec 02 2025 *)

Crossrefs

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

Sequence in context: A095559 A095545 A137147 * A114914 A026046 A330191

Adjacent sequences: A341175 A341176 A341177 * A341179 A341180 A341181

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Status

approved