Alternative ways of finding palindromic numbers

[JT73]

^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

 

[Jamma]

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.

 

[JT73]

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?

 

[JT73]

...bueller?...bueller?