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Search: id:A099542
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A099542 Rhonda numbers to base 10. An integer n is a Rhonda number to base b if the product of its digits in base b equals b*Sum of prime factors of n (including multiplicity). +0
12
1568, 2835, 4752, 5265, 5439, 5664, 5824, 5832, 8526, 12985, 15625, 15698, 19435, 25284, 25662, 33475, 34935, 35581, 45951, 47265, 47594, 52374, 53176, 53742, 54479, 55272, 56356, 56718, 95232, 118465, 133857, 148653, 154462, 161785 (list; graph; listen)
OFFSET

1,1

LINKS

Author?, Smith numbers and Rhonda Numbers.

Author?, Infinitely Many Rhondas

Walter Schneider, Rhonda Numbers

Eric Weisstein's World of Mathematics, Rhonda Number

EXAMPLE

1568 has prime factorization 2^{5} 7^{2}. Sum of prime factors=2*5+7*2=24. Product of digits of 1568=1*5*6*8=240 = 10*24, hence 1568 is a Rhonda number to base 10.

CROSSREFS

Adjacent sequences: A099539 A099540 A099541 this_sequence A099543 A099544 A099545

Sequence in context: A072394 A035890 A045276 this_sequence A035765 A107561 A045291

KEYWORD

base,nice,nonn

AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Oct 21 2004

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.


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