555,555,555,555,556/Mistake

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Source Work

1986: David Wells: Curious and Interesting Numbers:

The Dictionary
$555,555,555,555,556$


Mistake

A Kaprekar number.


Correction

It appears not.

\(\ds 555\,555\,555\,555\,556^2\) \(=\) \(\ds 308\,641\,975\,308\,642\,469\,135\,802\,469\,136\)
\(\ds 308\,641\,975\,308\,642 + 469\,135\,802\,469\,136\) \(=\) \(\ds 777\,777\,777\,777\,778\)

It does not appear possible to divide $555\,555\,555\,555\,556^2$ into two parts which sum to $555\,555\,555\,555\,556$.


This section has been removed from Curious and Interesting Numbers, 2nd ed. of $1997$.


Sources