Alternative ways of finding palindromic numbers

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Discussion Overview

The discussion revolves around alternative methods for finding palindromic numbers, specifically questioning the effectiveness of the reversal/add method and exploring other potential techniques or insights related to palindromic numbers.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • One participant inquires about alternative methods for finding palindromic numbers beyond the reversal/add method.
  • Another participant suggests that palindromic numbers can be generated by concatenating a number with its reverse, providing examples of how this can be done.
  • A different participant describes the reversal/add method, illustrating it with an example that shows how a specific number can become palindromic after several steps, while also noting that some numbers, like 196, have not become palindromic even after extensive iterations.
  • There is a question posed about whether there are other processes that can lead to finding palindromic numbers aside from the reversal/add technique.

Areas of Agreement / Disagreement

Participants express differing views on the methods for finding palindromic numbers, with no consensus reached on alternative techniques beyond the reversal/add method.

Contextual Notes

Some participants reference specific examples and methods without fully addressing the limitations or assumptions inherent in their approaches.

JT73
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^As the title says, I was curious if there are any alternative ways of finding palindromic numbers instead of using the reversal/add method?

Thanks
 
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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.
 
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?
 
...bueller?...bueller?
 

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