5040/Historical Note

Historical Note on $5040$
The philosopher decided that the exact number of citizens suitable for his ideal city was $5040$.

His reasons included:
 * $5040$ has $59$ divisors excluding itself
 * Can be divided by all numbers from $1$ to $10$ and so can be assembled for various wartime or peacetime collective activities into so many equal teams
 * Subtracting two hearths (that is, people) from the total, you get $5038$, which is divisible by $11$ as well.


 * -- 's Laws: $738$, $741$, $747$, $771$, $878$

In the science of campanology, a complete sequence of Stedman triples contains $5040$ changes, and takes between $3$ and $4$ hours to accomplish.