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%I #10 Nov 25 2022 10:53:29
%S 277777788888899,4996238671872,438939648,4478976,338688,27648,2688,
%T 768,336,54,20,0
%N Trajectory of 277777788888899 under "x -> product of digits of x" map.
%C This is the smallest number of persistence 11 (cf. A003001). It is conjectured that no number has persistence greater than 11.
%H N. J. A. Sloane, <a href="http://neilsloane.com/doc/persistence.html">The persistence of a number</a>, J. Recreational Math., 6 (1973), 97-98.
%F a(n)=A121110(n-1), n>=3. [From _R. J. Mathar_, Aug 07 2008]
%t NestWhileList[Times@@IntegerDigits[#]&,277777788888899,#>0&] (* _Harvey P. Dale_, Nov 25 2022 *)
%Y Cf. A003001.
%K nonn,fini,full,base
%O 1,1
%A _N. J. A. Sloane_, Aug 12 2006
%E Edited by _Charles R Greathouse IV_, Aug 05 2010
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