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A199993
Composite numbers whose multiplicative persistence is 3.
1
39, 49, 55, 57, 66, 68, 69, 74, 75, 78, 86, 87, 88, 93, 94, 95, 96, 98, 147, 155, 159, 166, 168, 169, 174, 175, 178, 186, 187, 188, 189, 194, 195, 196, 198, 236, 238, 246, 247, 248, 249, 264, 266, 267, 272, 274, 276, 279, 284, 288, 289, 292, 294, 297, 298, 299
OFFSET
1,1
COMMENTS
Complement of A046503 with respect to A046512.
LINKS
Eric Weisstein's World of Mathematics, Multiplicative Persistence
FORMULA
{ A046512 } minus { A046503 }.
EXAMPLE
147 -> 1 * 4 * 7 -> [ 28 ] -> 2 * 8 -> [ 16 ] -> 1 * 6 -> [ 6 ] -> one digit in three steps.
MATHEMATICA
Select[Range[300], CompositeQ[#]&&Length[NestWhileList[Times@@ IntegerDigits[ #]&, #, #>9&]] == 4&] (* Harvey P. Dale, Mar 29 2023 *)
CROSSREFS
Cf. A046503 (primes whose multiplicative persistence is 3).
Sequence in context: A064399 A235151 A050439 * A181488 A020305 A216978
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Nov 13 2011
STATUS
approved