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Alternative ways of finding palindromic numbers

  1. Dec 10, 2011 #1
    ^As the title says, I was curious if there are any alternative ways of finding palindromic numbers instead of using the reversal/add method?

  2. jcsd
  3. Dec 11, 2011 #2
    Huh, do you mean "how can they crop up in maths"? Obviously it's easy to "find" any palindromic number- they will correspond to some number x where you stick x next to its reversed self or where you sit x next to its reversed self without the first digit.

    e.g. 1524 --> 15244251
    or 1524 -->1524251

    Any palindromic number will be of this form.
  4. Dec 11, 2011 #3
    I've seen the process for finding a palindromic number which is the reversal/add way. For example, 186 + 681 = 867+768= 1635. + 5361 = 6996 So 186 gets palindromic at 6996 after 3 steps.

    People have created programs that do these reversal/add techniques to numbers and then show how many steps it took to get palindromic. http://mathforum.org/library/drmath/view/51508.html

    However, a few numbers such at 196 even after 2 million steps has still not become palindromic. Is there any alternative ways of finding palindromic numbers by usuing a different process instead of the reversal/add?
  5. Dec 11, 2011 #4
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