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

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).

Sequence in context: A180455 A219478 A082077 * A158769 A158774 A157507

Adjacent sequences: A341179 A341180 A341181 * A341183 A341184 A341185

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Status

approved