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.