A032577 Numbers k whose decimal representation, read as a base-23 value and divided by k, yields an integer.

1, 2, 3, 4, 5, 6, 7, 8, 9, 13, 26, 39, 169, 221, 442, 663, 884, 2405, 2873, 2912, 5980, 26455, 28730, 29120, 31667, 42441, 48841, 52900, 74435, 84882, 104650, 132808, 139380, 413738, 20392554, 23490402, 25209381, 32287569, 234904020, 239235484

Offset

1,2

Comments

Original name: Base 23 value of decimal denominator divided by this decimal value (n) is an integer.

Next term is > 2*10^14 - 1. - Frank A. Stevenson, Jan 02 2024

a(68) <= 339601420613312. - David A. Corneth, Jan 02 2024

Links

Frank A. Stevenson, Table of n, a(n) for n = 1..67

Example

2405 is a term: 2405_23 = 26455 = 2405*11. - Jon E. Schoenfield, Oct 25 2019

Prog

(Python) list(filter(lambda n: int(str(n), 23) % n==0, [i for i in range(1, 500000)])) # Frank A. Stevenson, Jan 02 2024
(PARI) is(n) = denominator(fromdigits(digits(n), 23)/n) == 1 \\ David A. Corneth, Jan 02 2024

Crossrefs

Cf. A032578, A032563.

Sequence in context: A304246 A271837 A290950 * A244155 A066310 A342226

Adjacent sequences: A032574 A032575 A032576 * A032578 A032579 A032580

Keyword

nonn,base

Author

Patrick De Geest, Apr 15 1998

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Sep 27 2000

Offset changed and Name edited by Jon E. Schoenfield, Oct 25 2019

Status

approved