“Mathematics, rightly viewed, possesses not only truth, but supreme beauty” Bertrand Russell
5 040 – Greek philosopher Plato gave this number as the population of an ideal city.
This number has several factors, which implies an efficient division of population for the sake of land distribution, taxes, war etc.
In fact,
5, 040 = 7! = (1)(2)(3)(4)(5)(6)(7)
5, 040 = (24)(32)(51)(71)
Thus, 5 040 has (4+1)(2+1)(1+1)(1+1) = 60 factors
 | Dave L. Renfro on A Simple Technique #1 |
 | Mike on This 2009! |
 | David on The number 5040 – accord… |
 | Joe Nahhas on This 2009! |
 | jd2718 on The number 5040 – accord… |
Physics undergraduate student in Manila, Philippines
|
physicsworld.com: all content
Astronomy Picture of the Day PhysOrg
But does that 5040 include children? slaves? women?
No, Plato didn’t include women, slaves or children. The actual number of inhabitants should be around 50 000 (Knack & Azfar 2000:3)