Challenge: Palindromic numbers

There is a classical conjecture of unknown origin: "Any positive integer is taken. The number is then written in reverse order; The two numbers are added together. The process is repeated with the sum number, obtaining a second sum, and proceeding in the same way until a palindrome (capicua) is achieved. The conjecture affirms that after finite number of additions will end up obtaining a palindromic number". ---- Did you enjoyed this challenge? Please give it a like..