A100969 Integers that are Rhonda numbers to base 6.

855, 1029, 3813, 5577, 7040, 7304, 15104, 19136, 35350, 36992, 41031, 42009, 60368, 65536, 67821, 76880, 84525, 90601, 122831, 131175, 154570, 162565, 184009, 184585, 196504, 217021, 219830, 222200, 252161, 256041, 268677, 353115, 355737, 357568, 367517, 371229, 388367

Offset: 1

Author

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

Keywords

• easy
• nonn
• base

Comments

See sequence A099542 for definition of Rhonda numbers and links.

Examples

			The product of the base 6 digits of 507500 is 1*4*5*1*3*3*1*2=360 and the sum of the prime factors of 507500 is 2*2+4*5+7+29=60 and 360=6*60.
		

Links

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

Crossrefs

Cf. Rhonda numbers to other bases: A100968 (base 4), A100970 (base 8), 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, A007092, subsequence of A248910.

Column k=2 of A291925.

Programs

Haskell

a100969 n = a100969_list !! (n-1)
a100969_list = filter (rhonda 6) a248910_list
-- Function rhonda as in A099542.
-- Reinhard Zumkeller, Mar 08 2015

Mathematica

A100969Q[k_] := Times @@ IntegerDigits[k, 6] == 6*Total[Times @@@ FactorInteger[k]];
Select[Range[400000], A100969Q] (* Paolo Xausa, Jul 01 2025 *)