297/Mistake

Source Work

1986: David Wells: Curious and Interesting Numbers:

The Dictionary

$297$

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary

$297$

Mistake

[$297$ is] the $5$th Kaprekar number.

Correction

In fact it is the $6$th, if you include the trivial case of $1$:

$1, 9, 45, 55, 99, 297$

It might be argued that David Wells meant to omit $1$ in his count, but this is then inconsistent with his entry on $45$:

The $3$rd smallest Kaprekar number, after $1$ and $9$.

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $297$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $297$