5 ms·
Interestingly, Wikipedia disagrees. For a radix of 10, there is thought to be no number with a multiplicative persistence > 11: this is known to be true for nu
by peterderivaz 13y ago
Interestingly, Wikipedia disagrees.
For a radix of 10, there is thought to be no number with a multiplicative persistence > 11: this is known to be true for numbers up to 10 to the power of 50.
http://en.wikipedia.org/wiki/Persistence_of_a_number http://en.wikipedia.org/wiki/Persistence_of_a_number
I guess the problem is that when you multiply lots of digits together you become increasingly likely to end up with a 0 digit somewhere.
- crondee 13y agoThanks for the link, I dug a little more and came across [1] which mentions a contribution by erdos to the effect that persistence might not be bounded. I guess I might spend some time to figure out number 12 :) [1] http://web.archive.org/web/20050214141815/http://www.wschnei.de/digit-related-numbers/persistence.html http://web.archive.org/web/20050214141815/http://www.wschnei...