A062847 When expressed in base 2 and then interpreted in base 6, is a multiple of the original number.

0, 1, 2, 4, 6, 8, 12, 16, 24, 32, 36, 48, 64, 66, 72, 96, 128, 132, 144, 174, 186, 192, 216, 252, 256, 264, 288, 348, 372, 384, 396, 432, 462, 504, 512, 528, 576, 696, 744, 768, 792, 864, 924, 1008, 1024, 1056, 1152, 1296, 1392, 1488, 1512, 1536, 1584, 1728

Offset: 1

Author

Erich Friedman, Jul 21 2001

Keywords

• base
• nonn

Comments

There are only five odd terms of the sequence that are less than 10^7, namely 1, 12025, 233285, 863395 and 9545429. - Dimiter Skordev, Feb 02 2020

Examples

			12 in base 2 is 1100, which interpreted in base 6 is 252=21*12.
		

Links

• Dimiter Skordev, Table of n, a(n) for n = 1..550 (terms less than 10^7)
• Dimiter Skordev, Python script

Crossrefs

Cf. (with base 2 and b): A062845 (b=3), A062846 (b=4), A331841 (b=5), A062848 (b=7), A062849 (b=8), A062850 (b=9), A032533 (b=10).

Programs

Magma

[0] cat [k:k in [1..1750]|Seqint(Intseq(Seqint(Intseq(k, 2))), 6) mod k eq 0]; // Marius A. Burtea, Feb 02 2020

PARI

isok(n) = (n==0) || ((fromdigits(digits(n, 2), 6) % n) == 0); \\ Michel Marcus, Feb 01 2020