Английская Википедия:147 (number)

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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 <math>a_3</math>, where[3] <math display=block>a_n=\sum_{k=0}^n\binom{n}{k}^2\binom{n+k}{k}.</math>

There are 147 different ways of representing one as a sum of unit fractions with five terms, allowing repeated fractions,[4] and 147 different self-avoiding polygonal chains of length six using horizontal and vertical segments of the integer lattice.[5]

In other fields

147 is the highest possible break in snooker, in the absence of fouls and refereeing errors.[6]

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.[7][8]

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

See also

References

Шаблон:Reflist

Шаблон:Integers