The Palindromic Number Conjecture states that: All integers will eventually produce a palindromic number if the following-algorithm is repeatedly applied to them:
Take an integer, reverse its digits and add it to itself,
it quickly becomes a palindromic number, that is, the digits are the same forwards and backward.
For example, start with 97:
97 + 79 = 176
176 + 671 = 847
847 + 748 = 1585
1585 + 5851 = 7546
7546 + 6457 = 14003
14003 + 30041 = 44044 ...done...
The conjecture has not been proven or found false for all integers in their base ten form.
Normally, the integers become palindromes quickly - until you get to x.

Find x.

Source: appears in several textbooks, papers and curios' collections.