147 (number)

← 146 147 148 →
← 140 141 142 143 144 145 146 147 148 149 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred forty-seven
Ordinal	147th (one hundred forty-seventh)
Factorization	3 × 72
Divisors	1, 3, 7, 21, 49, 147
Greek numeral	ΡΜΖ´
Roman numeral	CXLVII
Binary	100100112
Ternary	121103
Senary	4036
Octal	2238
Duodecimal	10312
Hexadecimal	9316

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

It is also the fourth Apéry number $a_{3}$, where $$a_{n}=\sum _{k=0}^{n}{\binom {n}{k}}^{2}{\binom {n+k}{k}}.$$

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.

In other fields

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

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.

147 Protogeneia is a large main belt asteroid.

See also

• The year AD 147 or 147 BC
• List of highways numbered 147
• All pages with titles containing 147