There is 24 steps in the palindrome 98
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98
898 and 8998.
it takes 24 steps to get to a palindrome from the number 89
I needed the answer to the same question and found a list of numeric palindrome answers at the site I linked below. Specifically for 98, it is a 24-step problem with the answer of 8,813,200,023,188. And the answer is the same for 89 also in 24-steps.
The palindrome for 98 is 89. It's like a little number boomerang, always coming back to where it started. So next time you see 98, just remember it's the same forwards and backwards, just like your favorite guilty pleasure movie.