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

Author

Patrick De Geest, Apr 15 1998

Keywords

• nonn
• base

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

Examples

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

Links

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

Crossrefs

Cf. A032578, A032563.

Programs

PARI

is(n) = denominator(fromdigits(digits(n), 23)/n) == 1 \\ David A. Corneth, Jan 02 2024

Python

list(filter(lambda n: int(str(n),23) % n==0, [i for i in range(1,500000)])) # Frank A. Stevenson, Jan 02 2024

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