A062944 Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.

0, 1, 2, 3, 4, 5, 6, 51, 102, 105, 153, 156, 207, 210, 258, 261, 312, 315, 2589, 2590, 2601, 2753, 5354, 5355, 5506, 8108, 8259, 8260, 10861, 11013, 11025, 13614, 13615, 13626, 13766, 13778, 16379, 16380, 16531, 33045

Offset: 1

Author

Erich Friedman, Jul 21 2001

Keywords

• base
• nonn

Comments

Zero followed by A032549. [From R. J. Mathar, Oct 02 2008]

There are only 47 terms up to 10 million, the largest of which is 7581525. - Harvey P. Dale, Jul 09 2016

Examples

			51 in base 7 is 102, which interpreted in base 10 is 102=2*51
		

Links

• Georg Fischer, Table of n, a(n) for n = 1..64 [First 47 terms from Harvey P. Dale]

Crossrefs

Cf. A062845, A062846, A062847, A062848, A062849, A062850, A062853, A062864, A062865, A062884, A062889, A062891, A062920, A062921, A062922, A062923, A062925, A062928, A062929, A062930, A062931, A062934, A062937, A062939, A062942, A062943.

Programs

Mathematica

Join[{0},Select[Range[35000],Divisible[FromDigits[IntegerDigits[ #,7]], #]&]] (* Harvey P. Dale, Jul 09 2016 *)

Extensions

Offset changed to 1 by Georg Fischer, Mar 13 2023