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A199993 Composite numbers whose multiplicative persistence is 3. 1

%I #14 Mar 29 2023 10:28:25

%S 39,49,55,57,66,68,69,74,75,78,86,87,88,93,94,95,96,98,147,155,159,

%T 166,168,169,174,175,178,186,187,188,189,194,195,196,198,236,238,246,

%U 247,248,249,264,266,267,272,274,276,279,284,288,289,292,294,297,298,299

%N Composite numbers whose multiplicative persistence is 3.

%C Complement of A046503 with respect to A046512.

%H Harvey P. Dale, <a href="/A199993/b199993.txt">Table of n, a(n) for n = 1..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MultiplicativePersistence.html">Multiplicative Persistence</a>

%F { A046512 } minus { A046503 }.

%e 147 -> 1 * 4 * 7 -> [ 28 ] -> 2 * 8 -> [ 16 ] -> 1 * 6 -> [ 6 ] -> one digit in three steps.

%t Select[Range[300],CompositeQ[#]&&Length[NestWhileList[Times@@ IntegerDigits[ #]&,#,#>9&]] == 4&] (* _Harvey P. Dale_, Mar 29 2023 *)

%Y Cf. A046503 (primes whose multiplicative persistence is 3).

%K nonn,base

%O 1,1

%A _Jaroslav Krizek_, Nov 13 2011

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Last modified June 7 18:23 EDT 2024. Contains 373206 sequences. (Running on oeis4.)