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A062847 When expressed in base 2 and then interpreted in base 6, is a multiple of the original number. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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

LINKS

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

Dimiter Skordev, Python script

EXAMPLE

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

PROG

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

(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

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).

Sequence in context: A070175 A096850 A250270 * A001013 A115746 A025610

Adjacent sequences:  A062844 A062845 A062846 * A062848 A062849 A062850

KEYWORD

base,nonn

AUTHOR

Erich Friedman, Jul 21 2001

STATUS

approved

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Last modified September 27 08:39 EDT 2021. Contains 347689 sequences. (Running on oeis4.)