# Her name is Cheryl.

**Computer Science**Level 4

*near-symmetric*number if after twenty-five iterations, the resulting integer is still not a palindrome. What is the smallest positive near-symmetric number?

**Details and assumptions**

A palindrome is a number that remains the same when its digits are reversed.

As an explicit example, consider the integer to be \(49\). The resulting number will be \(49 + 94 = 143 \). Repeat: \(143 + 341 = 484 \), which is a palindrome (after \(2 < 25 \) iterations). Thus \(49\) is not a near-symmetric number.