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The Number of Non-Zero Digits of $n!$ |
Canad. Math. Bull. 45(2002), 115-118
Published:2002-03-01
Printed: Mar 2002
Printed: Mar 2002
- Florian Luca
Abstract
Let $b$ be an integer with $b>1$. In this note, we prove that the
number of non-zero digits in the base $b$ representation of $n!$
grows at least as fast as a constant, depending on $b$, times $\log
n$.
| MSC Classifications: | 11A63 - Radix representation; digital problems {For metric results, see 11K16} |