A100970 Integers that are Rhonda numbers to base 8.

1836, 6318, 6622, 10530, 14500, 14739, 17655, 18550, 25398, 25956, 30562, 39215, 39325, 50875, 51429, 52887, 55611, 56420, 58548, 59731, 60604, 72358, 74620, 76581, 78780, 81370, 84180, 85949, 103350, 103788, 108750, 112914, 118233

Offset: 1

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 24 2004

Keywords

• easy
• nonn
• base

Comments

See A099542 for definition of Rhonda numbers and some links.

Examples

			Product of base 8 digits of 1836 is 3*4*5*4=240 and sum of prime factors of 1826 is 2*2+3*3+17=30 and 240=8*30.
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Rhonda Number
• Wikipedia, Octal

Crossrefs

Cf. Rhonda numbers to other bases: A100968 (base 4), A100969 (base 6), A100973 (base 9), A099542 (base 10), A100971 (base 12), A100972 (base 14), A100974 (base 15), A100975 (base 16), A255735 (base 18), A255732 (base 20), A255736 (base 30), A255731 (base 60), see also A255872.

Cf. A001414, A027746, A007094, subsequence of A255805.

Column k=3 of A291925.

Programs

Haskell

a100970 n = a100970_list !! (n-1)
a100970_list = filter (rhonda 8) a255805_list
-- Function rhonda as in A099542.
-- Reinhard Zumkeller, Mar 08 2015

Mathematica

rhda8Q[n_]:=Times@@IntegerDigits[n,8]==8*Total[Times@@@FactorInteger[n]]; Select[Range[120000],rhda8Q] (* Harvey P. Dale, Jul 10 2021 *)