A341180 - OEIS

%I #14 Feb 13 2021 06:47:55

%S 98,167,293,298,349,419,469,493,545,557,637,671,781,863,887,893,923,

%T 925,982,988,1049,1069,1169,1175,1357,1399,1427,1475,1495,1553,1597,

%U 1628,1645,1666,1781,1793,1795,1805,1837,1888,1931,1933,1934,1973,1993,2057,2077,2087

%N Numbers that when divided by the sum of their digits leave 13 as remainder.

%H Carole Dubois, <a href="/A341180/b341180.txt">Table of n, a(n) for n = 1..5001</a>

%e a(1) = 98 and 98 is 17*5 with remainder 13;

%e a(2) = 167 and 167 is 14*11 with remainder 13; etc.

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

%K base,nonn

%O 1,1

%A _Eric Angelini_ and _Carole Dubois_, Feb 06 2021