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A199994 Composite numbers whose multiplicative persistence is 4. 0

%I #10 Mar 30 2012 19:00:28

%S 77,177,268,286,348,355,377,378,384,387,438,446,464,476,477,483,489,

%T 498,535,553,575,628,644,668,674,678,682,686,687,699,717,737,738,746,

%U 747,755,764,767,768,771,772,774,776,777,778,783,786,788,793,826,834,837

%N Composite numbers whose multiplicative persistence is 4.

%C Complement of A046504 with respect to A046513.

%e 77 -> [ 49 ][ 36 ][ 18 ][ 8 ] -> one digit in four steps.

%t persistence[n_] := Module[{cnt = 0, k = n}, While[k > 9, cnt++; k = Times @@ IntegerDigits[k]]; cnt]; Select[Range[1000], ! PrimeQ[#] && persistence[#] == 4 &]

%Y Cf. A046504 (primes whose multiplicative persistence is 4).

%K nonn,base

%O 1,1

%A _Jaroslav Krizek_, Nov 13 2011

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