Pandigital Integers remaining Pandigital on Multiplication/Mistake
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Source Work
1986: David Wells: Curious and Interesting Numbers:
- The Dictionary
- $123,456,789$
1997: David Wells: Curious and Interesting Numbers (2nd ed.):
- The Dictionary
- $123,456,789$
Mistake
- There are several numbers that are pandigital, including zero, and remain so when multiplied by several factors. For example, $1,098,765,432$ when multiplied by $2$, $4$, $5$ or $7$.
$8$ has been overlooked:
- $1 \, 098 \, 765 \, 432 \times 8 = 8 \, 790 \, 123 \, 456$
As the article in which this factoid focused on the fact that $123,456,789 \times 8 = 987 \, 654 \, 312$, this omission looks to be a mistake.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $123,456,789$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $123,456,789$