A positive integer whose repeated reverse-and-add process never reaches a palindromic number in the chosen base. Each step adds the current number to the number obtained by reversing its numerical digits. Failure to find a palindromic number after a fixed iteration limit establishes only a candidate, not a proof that the process never succeeds.
A Lychrel number is a natural number that is not known to form a palindrome through the iterative process of reversing its digits and adding the result to the original number. A number is considered a palindrome if it reads the same forwards and backwards (for example, 121 or 12321). The Lychrel process typically involves the following steps: 1. Take a natural number n. 2. Reverse its digits to get a new number. 3. Add the reversed number to the original number.
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