A341173 Numbers that when divided by the sum of their digits leave 6 as remainder.

34, 46, 58, 62, 66, 83, 96, 134, 136, 138, 160, 174, 175, 182, 186, 206, 223, 226, 246, 276, 278, 281, 282, 292, 316, 318, 350, 354, 356, 358, 366, 380, 390, 406, 409, 412, 422, 426, 456, 462, 482, 489, 526, 534, 546, 570, 584, 591, 595, 601, 606, 608, 636, 642, 643, 646, 678, 681, 686, 688

Offset

1,1

Links

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

Example

a(1) = 34 and 34 is 7*4 with remainder 6;
a(2) = 46 and 46 is 10*4 with remainder 6; etc.

Prog

(PARI) isok(n) = n%sumdigits(n) == 6; \\ Michel Marcus, Feb 06 2021

Crossrefs

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

Sequence in context: A260284 A274189 A275194 * A352787 A074757 A211710

Adjacent sequences: A341170 A341171 A341172 * A341174 A341175 A341176

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 06 2021

Status

approved