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 which was still not a palindrome. We had to repeat the process twice more to finally arrive at a 4-digit number which was 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 which was still not a palindrome. We had to repeat the process twice more to finally arrive at a 4-digit number which was a palindrome.
