= Lychrel number
{c}
A <Lychrel number> is a <positive integer> whose repeated reverse-and-add process never reaches a <palindromic number> in the chosen <radix>. Each step performs <digit reversal> and adds the reversed <integer> to the current value. For example, $56+65=121$ reaches a <decimal palindrome> in one step, so $56$ is not a base-ten <Lychrel number>.
Failure to reach a <palindromic number> within a fixed iteration limit establishes only a candidate. It does not prove that every later step also fails. A computation must therefore distinguish a bounded search result from the infinite claim in the definition.
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