147 (one hundred [and] forty-seven) is the natural number following 146 and preceding 148.

In mathematics

147 is the fourth centered icosahedral number. These are a class of figurate numbers that represent points in the shape of a regular icosahedron or alternatively points in the shape of a cuboctahedron, and are magic numbers for the face-centered cubic lattice. ^[1] Separately, it is also a magic number for the diamond cubic. ^[2]

It is also the fourth Apéry number ${\displaystyle a_{3}}$ following 19, where ^[3]

$${\displaystyle a_{n}=\sum _{k=0}^{n}{\binom {n}{k}}^{2}{\binom {n+k}{k}},}$$

with 147 the composite index of the nineteenth triangle number, 190. ^{[4] [5]}

There are 147 different ways of representing one as a sum of unit fractions with five terms, allowing repeated fractions, ^[6] and 147 different self-avoiding polygonal chains of length six using horizontal and vertical segments of the integer lattice. ^[7]

In other fields

147 is the highest possible break in snooker, in the absence of fouls and refereeing errors. ^[8]

In some traditions, there are 147 psalms. However, current Christian and Jewish traditions list a larger number, leading to the suggestion that some of the psalms in the earlier numbering were split into multiple pieces. ^{[9] [10]}

147 is the telephonic number of the 27 Brazilian Civil Police forces.

See also

• 147 (disambiguation)

References