Definition:Reverse-and-Add/Historical Note

Historical Note on Reverse-and-Add
There has been a lot of work in recent years on the results of iterating the reverse-and-add process, in several number bases.

The usual aim of the exercise is to determine how long it takes until a palindromic number appears.

Most of the research has, as can be expected, been done on numbers expressed in base $10$ notation.

Of the $900$ numbers with $3$ digits, $90$ are already palindromic and $735$ require between $1$ and $5$ iterations.

The first $10 \, 000$ numbers contain $5996$ which have not yielded a palindrome.

The longer a number gets, the lower the probability that it will form a palindrome when added to its reversal, so for large numbers it appears that it becomes less and less likely for the reverse-and-add process to end in such a way.