Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site utcsri.UUCP Path: utzoo!utcsri!mendel From: mendel@utcsri.UUCP (Alberto Mendelzon) Newsgroups: net.math Subject: A question on palindromic numbers Message-ID: <1389@utcsri.UUCP> Date: Fri, 13-Sep-85 12:10:39 EDT Article-I.D.: utcsri.1389 Posted: Fri Sep 13 12:10:39 1985 Date-Received: Fri, 13-Sep-85 12:25:05 EDT Distribution: net Organization: CSRI, University of Toronto Lines: 17 Suppose you start with an arbitrary positive integer, reverse it, add the original integer to its reversal, add the result to its reversal, and keep doing this until you end up with a number that is palindromic. For example, start with 19: 19+91=110, 110+11=121 and you're done, since 121 is palindromic, i.e., it is equal to its reversal. All arithmetic is in base 10. The question is: assuming unlimited integer size, is this process guaranteed to converge to a palindrome no matter what integer you start with? -- ----------------- Alberto Mendelzon utcsri!mendel mendel@toronto