A341181 Numbers that when divided by the sum of their digits leave 14 as remainder.

269, 286, 574, 575, 718, 728, 793, 794, 862, 881, 889, 964, 974, 1187, 1294, 1438, 1477, 1493, 1582, 1646, 1648, 1694, 1726, 1789, 1819, 1870, 1874, 1877, 1952, 1990, 2158, 2258, 2446, 2498, 2564, 2590, 2594, 2674, 2689, 2717, 2734, 2774, 2845, 2870, 2954, 2978

Offset

1,1

Links

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

Example

a(1) = 269 and 269 is 17*15 with remainder 14;
a(2) = 286 and 286 is 16*17 with remainder 14; etc.

Mathematica

Select[Range[3000], Mod[#, Total[IntegerDigits[#]]]==14&] (* Harvey P. Dale, Dec 27 2024 *)

Crossrefs

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

Sequence in context: A115183 A073522 A273552 * A073026 A255206 A142636

Adjacent sequences: A341178 A341179 A341180 * A341182 A341183 A341184

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Status

approved