A341182 - OEIS

A341182

Numbers that when divided by the sum of their digits leave 15 as remainder.

79, 287, 367, 498, 499, 593, 655, 687, 695, 697, 746, 775, 797, 875, 876, 879, 895, 899, 939, 943, 946, 1087, 1288, 1358, 1375, 1459, 1489, 1519, 1569, 1595, 1599, 1663, 1664, 1687, 1695, 1758, 1775, 1807, 1817, 1884, 1885, 1887, 1947, 1951, 1955, 1959, 1970, 1972

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

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

EXAMPLE

a(1) = 79 and 79 is 16*4 with remainder 15;

a(2) = 287 and 287 is 17*16 with remainder 15; etc.

MATHEMATICA

Select[Range[2000], Mod[#, Total[IntegerDigits[#]]]==15&] (* Harvey P. Dale, Sep 03 2021 *)

CROSSREFS

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