A341179 Numbers that when divided by the sum of their digits leave 12 as remainder.

68, 87, 177, 194, 267, 268, 337, 357, 386, 446, 447, 454, 487, 492, 537, 539, 556, 571, 572, 579, 582, 627, 658, 672, 692, 717, 762, 768, 805, 807, 824, 829, 844, 845, 852, 894, 922, 942, 950, 957, 958, 992, 996, 1039, 1076, 1077, 1156, 1167, 1257, 1273, 1276

Offset

1,1

Links

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

Example

a(1) = 68 and 68 is 14*4 with remainder 12;
a(2) = 87 and 87 is 15*5 with remainder 12; etc.

Mathematica

Select[Range[1500], Mod[#, Total[IntegerDigits[#]]]==12&] (* Harvey P. Dale, Jul 19 2023 *)

Crossrefs

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

Sequence in context: A039433 A043256 A044036 * A261316 A045268 A352040

Adjacent sequences: A341176 A341177 A341178 * A341180 A341181 A341182

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Status

approved