A number is called a palindrome when it is equal to the number you get when all its digits are reversed. For example, 2772 is a palindrome.

We discovered a curious thing. We took the number 461, reversed the digits, giving the number 164, and calculated the sum of these two numbers:

       461
       164 +
     -------
       625

We repeated the process of reversing the digits and calculating the sum two more times:

       625
       526 +
     -------
      1151
      1511 +
     -------
      2662

To our surprise, the result 2662 was a palindrome. We decided to see if this was a pure coincidence or not. So we took another 3-digit number, reversed it, which gave a larger number, and added the two. The result was not a palindrome.

We repeated the process, which resulted in another 3-digit number that was still not a palindrome. We had to repeat the process twice more to arrive at a 4-digit number, which was a palindrome finally.

The question: What was the 3-digit number we started with the second time?

The answer: Click here!