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.