A029485 Numbers k that divide the (left) concatenation of all numbers <= k written in base 16 (most significant digit on left).

1, 3, 5, 9, 15, 25, 75, 257, 321, 435, 795, 1285, 2313, 8523, 39759, 60855, 91209, 247875, 251385, 2695341, 5095725, 9529505, 12179807, 12341125, 57965805, 1380206235, 15616692345, 22548618825, 26313971049

Offset: 1

Author

Olivier Gérard

Keywords

• nonn
• base
• more

Comments

No other terms below 3*10^10.

Examples

			For k=3, we have 321_16 which is 801, and 801 = 3*267.
		

Links

• Index entries for related sequences

Crossrefs

Cf. A029447-A029470, A029471-A029484, A029486-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

Programs

Mathematica

b = 16; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[IntegerDigits[#, b], c], b], #] &] (* Robert Price, Mar 12 2020 *)

Extensions

More terms from Andrew Gacek (andrew(AT)dgi.net), Feb 21 2000

More terms from Larry Reeves (larryr(AT)acm.org), Aug 27 2001

Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002

a(20)-a(25) from Max Alekseyev, May 15 2011

a(26)-a(29) from Jason Yuen, Jun 29 2024