147 (number)
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147 (one hundred ndforty-seven) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal n ...
following 146 and preceding
148 148 may refer to: *148 (number), a natural number *AD 148, a year in the 2nd century AD *148 BC, a year in the 2nd century BC *148 (album), an album by C418 *148 (Meiktila) Battery Royal Artillery *148 (New Jersey bus) 148 may refer to: *148 (numb ...
.


In mathematics

147 is the fourth centered icosahedral number. These are a class of
figurate number The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers). The term can mean * polyg ...
s that represent points in the shape of a
regular icosahedron In geometry, a regular icosahedron ( or ) is a convex polyhedron with 20 faces, 30 edges and 12 vertices. It is one of the five Platonic solids, and the one with the most faces. It has five equilateral triangular faces meeting at each vertex. It ...
or alternatively points in the shape of a
cuboctahedron A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it ...
, and are magic numbers for the
face-centered cubic lattice In crystallography, the cubic (or isometric) crystal system is a crystal system where the unit cell is in the shape of a cube. This is one of the most common and simplest shapes found in crystals and minerals. There are three main varieties o ...
. Separately, it is also a magic number for the
diamond cubic The diamond cubic crystal structure is a repeating pattern of 8 atoms that certain materials may adopt as they solidify. While the first known example was diamond, other elements in group 14 also adopt this structure, including α-tin, the se ...
. It is also the fourth Apéry number a_3, where a_n=\sum_^n\binom^2\binom. There are 147 different ways of representing one as a sum of unit fractions with five terms, allowing repeated fractions, and 147 different self-avoiding
polygonal chain In geometry, a polygonal chain is a connected series of line segments. More formally, a polygonal chain is a curve specified by a sequence of points (A_1, A_2, \dots, A_n) called its vertices. The curve itself consists of the line segments co ...
s of length six using horizontal and vertical segments of the
integer lattice In mathematics, the -dimensional integer lattice (or cubic lattice), denoted , is the lattice in the Euclidean space whose lattice points are -tuples of integers. The two-dimensional integer lattice is also called the square lattice, or grid ...
.


In other fields

147 is the highest possible break in
snooker Snooker (pronounced , ) is a cue sports, cue sport played on a Billiard table#Snooker and English billiards tables, rectangular table covered with a green cloth called baize, with six Billiard table#Pockets 2, pockets, one at each corner and o ...
, in the absence of fouls and refereeing errors. In some traditions, there are 147
psalms The Book of Psalms ( or ; he, תְּהִלִּים, , lit. "praises"), also known as the Psalms, or the Psalter, is the first book of the ("Writings"), the third section of the Tanakh, and a book of the Old Testament. The title is derived ...
. 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.


See also

*
147 (disambiguation) 147 may refer to: * 147 (number), a natural number * AD 147, a year of the Julian calendar, in the second century * 147 BC, a year of the pre-Julian Roman calendar * 147 AH, a year in the Islamic calendar that corresponds to 764 – 765 Common ...


References

{{DEFAULTSORT:147 (Number) Integers