A199994 Composite numbers whose multiplicative persistence is 4.
77, 177, 268, 286, 348, 355, 377, 378, 384, 387, 438, 446, 464, 476, 477, 483, 489, 498, 535, 553, 575, 628, 644, 668, 674, 678, 682, 686, 687, 699, 717, 737, 738, 746, 747, 755, 764, 767, 768, 771, 772, 774, 776, 777, 778, 783, 786, 788, 793, 826, 834, 837
Offset: 1
Examples
77 -> [ 49 ][ 36 ][ 18 ][ 8 ] -> one digit in four steps.
Crossrefs
Cf. A046504 (primes whose multiplicative persistence is 4).
Programs
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Mathematica
persistence[n_] := Module[{cnt = 0, k = n}, While[k > 9, cnt++; k = Times @@ IntegerDigits[k]]; cnt]; Select[Range[1000], ! PrimeQ[#] && persistence[#] == 4 &]
Comments