The reverse and add process, if repeated will often reach a palindrome. In base 10 it is unknown whether numbers exist that do not eventually reach a palindrome (196 is the smallest current candidate in base ten.)
In binary, however, there are numbers that never reach a palindrome. Find the smallest such number and prove it never reaches a palindrome.
The previous posts show 22 (10110 in binary) falls into an ever increasing pattern.
How do we know there is no smaller number that does the same?
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Posted by Jer
on 2021-05-01 11:33:08 |
Smallest?
