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 A109600 Numbers n such that number of 1's in binary representation of n equals the number of digits required to write the prime factors of n. 1
 2, 6, 9, 10, 17, 22, 26, 28, 38, 42, 50, 54, 60, 69, 70, 74, 78, 82, 90, 92, 98, 99, 102, 114, 116, 131, 133, 134, 135, 137, 145, 146, 150, 153, 154, 161, 165, 169, 170, 172, 193, 194, 195, 202, 209, 210, 212, 220, 225, 226, 234, 242, 248, 259, 265, 275, 278, 282 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 708588 has 13 1's in base 2 and 13 digits in its factorization. What is the next term in this sequence with more 1's and digits? 2881008 has 14 1's in base 2 and 14 digits in its factorization. - Harvey P. Dale, Jul 04 2023 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE 54=110110 in base 2 and 54=2*3*3*3, hence 54 is in the sequence. MATHEMATICA Select[Range[2, 300], DigitCount[#, 2, 1]==Total[IntegerLength[#[[1]]]#[[2]]&/@ FactorInteger[ #]]&] (* Harvey P. Dale, Jul 04 2023 *) CROSSREFS Cf. A076649. Sequence in context: A243373 A085304 A015843 * A370802 A370810 A071814 Adjacent sequences: A109597 A109598 A109599 * A109601 A109602 A109603 KEYWORD base,easy,nonn AUTHOR Jason Earls, Jul 30 2005 STATUS approved

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Last modified April 14 00:20 EDT 2024. Contains 371652 sequences. (Running on oeis4.)