High Quality Content by WIKIPEDIA articles! Plato's number is the number 216 = 63 alluded to in an obscure passage in The Republic, Book VIII. In this passage, Plato discusses the properties of a certain number and remarks that this is "...on which would depend the better and worse generations in his imaginary republic" (Donaldson). He knew, like the Pythagoreans before him, that 6 was the first perfect number. Furthermore, he was also aware that the sum of the cubes of the sides of the 3-4-5 triangle was equal to.

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