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I made a palindrome!

Question

The other night I wrote down a number.

I thought about ways to turn it into a palindrome.

I tried adding it to the larger number I got by reversing its digits.

That didn't work.

 

But I kept on doing that step, using each time the number I got from the previous step.

Whether this process will always produce a palindrome, eventually, I don't know.

But for my starting number it eventually worked.

 

Can you tell me my starting number?

 

I can tell you that after the second step the number of digits had not increased,

and that a four-digit palindrome was the first to appear, after the fourth step.

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This is actually a subject I find really fascinating...just don't try your method with 196, or any of the other proposed "Lychrel Numbers"...you might be there for a while.

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