A121109 Trajectory of 26888999 under "x -> product of digits of x" map.

26888999, 4478976, 338688, 27648, 2688, 768, 336, 54, 20, 0

Offset

1,1

Comments

This is the smallest number of persistence 9 (cf. A003001).

Links

Table of n, a(n) for n=1..10.

N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98.

Mathematica

NestList[Times@@IntegerDigits[#]&, 26888999, 9] (* Harvey P. Dale, Aug 16 2015 *)

Crossrefs

Cf. A003001.

Sequence in context: A151622 A205767 A086129 * A046518 A199999 A046509

Adjacent sequences: A121106 A121107 A121108 * A121110 A121111 A121112

Keyword

nonn,fini,full,base

Author

N. J. A. Sloane, Aug 12 2006

Extensions

Edited by Charles R Greathouse IV, Aug 06 2010

Status

approved