Abstract
When adding an integer and its reversal, one obtains another integer, which may also be added to its reversal, and so on. Will this process give a palindromic result, that is to say, a number reading the same backward as forward? 196 is known to be the first number that apparently never produces a palindrome. We present new properties which provide a more accurate interpretation of the palindromic reversal process and give a recursive algorithm whose recursion removal leads to the classical algorithm. We also exhibit a finer classification of numbers giving the same integers after several steps of the process.
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