216 is the
natural
number following
215 and preceding
217.
Since 216 = 3^3 + 4^3 + 5^3 = 6^3, it is the smallest cube that's
also the
sum of three
cubes (
Plato was among the first to notice
this, and mentioned it in Book VIII of
Republic). It is also the sum of a
twin prime (107 + 109). But since there
is no way to express it as the sum of the
proper divisors of any other integer, it is
an
untouchable number.
This multiplicative
magic square
\begin{pmatrix}2 & 9 & 12\\36 & 6 & 1\\3 & 4
& 18\end{pmatrix}
has magic constant 216.
In base 10, it is a
Harshad
number.
In other fields
- The 216 colors formed by a 6×6×6 color cube are sometimes known
as the web-safe color
palette.
- ISO 216 is the ISO's
standard for paper sizes.
- In the film Pi, Max becomes
obsessed with a 216-digit number in his quest to find the numeric
equation behind existence, and is told by a group of Hasidic Jews that it represents the true name
of God.
- As six cubed (6*6*6), 216 is also symbolic of the Mark of the Beast in Christianity. This has been expressed in the
Left Behind series. This is
interesting as the quotient of 144,000/666 is 216.216216216...
These two numbers are used extensively throughout the book of
Revelation in the Holy Bible, where the Mark of the Beast is
identified.
- The 216th verse of the Apocalypse:
(Revelation 13:4) " And they worshipped
the dragon which gave power unto the beast"
- A song
by the British based band
Meet Me at Midnight
- The NeoCube Alpha is composed of 216
magnetic spheres.
- The number of stitches on a baseball.
See also
References
- Wells, D. (1987). The Penguin Dictionary of Curious and
Interesting Numbers (p. 144). London: Penguin Group.