A029486 -id:A029486 - cp's OEIS frontend

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

Olivier Gérard

No other terms below 3*10^10.

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

Index entries for related sequences

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

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

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

A029487 Numbers k that divide the (left) concatenation of all numbers <= k written in base 18 (most significant digit on left).

Original entry on oeis.org

1, 17, 49, 73, 289, 307, 1297, 3013, 8959, 664831, 1399549, 5122561, 8515193, 11012719, 65998063, 145256891, 294363959, 734746001, 1255837139, 1454498597, 5287956641

Offset: 1

Olivier Gérard

No other terms below 3*10^10.

Index entries for related sequences

Cf. A029447-A029470, A029471-A029486, A029488-A029494, A029495-A029518, A029519-A029542, A061931-A061954, A061955-A061978.

b = 18; c = {}; Select[Range[10^4], Divisible[FromDigits[c = Join[IntegerDigits[#, b], c], b], #] &] (* Robert Price, Mar 12 2020 *)

More terms from Andrew Gacek (andrew(AT)dgi.net), Feb 21 2000
a(9) corrected by Larry Reeves (larryr(AT)acm.org), Jan 14 2002
Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002
a(10)-a(15) from Max Alekseyev, May 15 2011
a(16)-a(21) from Jason Yuen, Jun 29 2024

cp's OEIS Frontend

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

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