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147 (number)

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147 (number)

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

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. Separately, it is also a magic number for the diamond cubic.

It is also the fourth Apéry number following 19, where

with 147 the composite index of the nineteenth triangle number, 190.

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 chains of length six using horizontal and vertical segments of the integer lattice.

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