A341177 Numbers that when divided by the sum of their digits leave 10 as remainder.

49, 65, 164, 166, 197, 248, 263, 283, 362, 374, 394, 461, 517, 538, 560, 626, 634, 656, 682, 694, 751, 752, 809, 826, 865, 868, 962, 970, 998, 1055, 1154, 1219, 1253, 1256, 1258, 1268, 1336, 1352, 1378, 1382, 1451, 1453, 1508, 1546, 1549, 1550, 1570, 1574, 1634, 1690

Offset

1,1

Links

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

Example

a(1) = 49 and 49 is 13*3 with remainder 10;
a(2) = 65 and 65 is 11*5 with remainder 10; etc.

Mathematica

Select[Range[1700], Mod[#, Total[IntegerDigits[#]]]==10&] (* Harvey P. Dale, Jun 22 2021 *)

Crossrefs

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

Sequence in context: A308250 A215056 A242702 * A117459 A137558 A316676

Adjacent sequences: A341174 A341175 A341176 * A341178 A341179 A341180

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Status

approved