Polydivisible Number/Examples/381,654,729/Mistake
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Source Work
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $381,654,729$
Mistake
- The unique integer such that the number formed by the first $n$ digits is divisible by the digit $n$.
That should read:
- The unique pandigital integer (in the sense that zero is excluded) such that the number formed by the first $n$ digits is divisible by the digit $n$.
It is a trivial task to create a $9$-digit integer with this property that is not pandigital. Straight off the top of my head:
- $222 \, 456 \, 564$
It is also worth pointing out that $3 \, 816 \, 547 \, 290$ is also pandigital (but in the sense that zero is included) and also has the same property -- although $10$ is not a digit as such.
Numbers with this property are referred to as polydivisible.
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $381,654,729$