login
Smallest number that always takes at least n steps to reach 0 under "k -> any product of 2 numbers whose concatenation is k".
5

%I #17 Jan 03 2016 15:30:30

%S 0,1,11,26,39,77,666

%N Smallest number that always takes at least n steps to reach 0 under "k -> any product of 2 numbers whose concatenation is k".

%C Next term is at least 3*10^7. 666 may be the last term. - _Naohiro Nomoto_, Apr 07 2001

%C Checked up to 1.55*10^10. No other numbers apart 666 with minimal path of length 6. The largest number found with minimal path equal to 5 is 711111. - _Giovanni Resta_, Oct 03 2012

%Y Cf. A035930-A035934.

%K nonn,base,nice

%O 0,3

%A _Erich Friedman_