FUUUUU
I was expecting this though...
2
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I was expecting this though...
2
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6
As a perfect number, 6 is the root of the 6-aliquot tree, and is itself the aliquot sum of only one number; thesquare number, 25.
As a perfect number, 6 is the root of the 6-aliquot tree, and is itself the aliquot sum of only one number; thesquare number, 25.
7
When rolling two standard six-sided dice, seven has a 6 in 36 (or 1/6) probability of being rolled (1–6, 6–1, 2–5, 5–2, 3–4, or 4–3), the greatest of any number.
When rolling two standard six-sided dice, seven has a 6 in 36 (or 1/6) probability of being rolled (1–6, 6–1, 2–5, 5–2, 3–4, or 4–3), the greatest of any number.
8
8 is a composite number, its proper divisors being 1, 2, and 4. It is twice 4 or four times 2. Eight is a power of two, being
(two cubed), and is the first number of the form
, p being an integer greater than 1. It has an aliquot sum of 7 in the 4 member aliquot sequence (8,7,1,0) being the first member of 7-aliquot tree. It is symbolized by the Arabic numeral (figure)
All powers of 2 ;(
), have an aliquot sum of one less than themselves.
A number is divisible by 8 if its last 3 digits are also divisible by 8.
Eight is the first number to be the aliquot sum of two numbers other than itself; the discrete biprime 10, and the square number 49.
8 is the base of the octal number system, which is mostly used with computers. In octal, one digit represents 3bits. In modern computers, a byte is a grouping of eight bits, also called an octet.
The number 8 is a Fibonacci number, being 3 plus 5. The next Fibonacci number is 13. 8 is the only positive Fibonacci number, aside from 1, that is a perfect cube.[1]
8 is the only nonzero perfect power that is one less than another perfect power, by Mihăilescu's Theorem.
8 is the order of the smallest non-abelian group all of whose subgroups are normal.
8 and 9 form a Ruth–Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.
There are a total of eight convex deltahedra.
A polygon with eight sides is an octagon. Figurate numbers representing octagons (including eight) are calledoctagonal numbers.
A polyhedron with eight faces is an octahedron. A cuboctahedron has as faces six equal squares and eight equal regular triangles.
A cube has eight vertices.
Sphenic numbers always have exactly eight divisors.
8 is the dimension of the octonions and is the highest possible dimension of a normed division algebra.
The number 8 is involved with a number of interesting mathematical phenomena related to the notion of Bott periodicity. For example if
is the direct limit of the inclusions of real orthogonal groups
then
. Clifford algebras also display a periodicity of 8. For example the algebra
is isomorphic to the algebra of 16 by 16 matrices with entries in
. We also see a period of 8 in the K-theory of spheres and in the representation theory of the rotation groups, the latter giving rise to the 8 by 8 spinorial chessboard. All of these properties are closely related to the properties of the octonions.
The spin group
is the unique such group that exhibits the phenomenon of triality.
The lowest-dimensional even unimodular lattice is the 8-dimensional E8 lattice. Even positive definite unimodular lattice exist only in dimensions divisible by 8.
A figure 8 is the common name of a geometric shape, often used in the context of sports, such as skating. Figure-eight turns of a rope or cable around a cleat, pin, or bitt are used to belay something.
It also is a number in the Fibonacci sequence 1,1,2,3,5,8,13,21
8 is a composite number, its proper divisors being 1, 2, and 4. It is twice 4 or four times 2. Eight is a power of two, being
All powers of 2 ;(
A number is divisible by 8 if its last 3 digits are also divisible by 8.
Eight is the first number to be the aliquot sum of two numbers other than itself; the discrete biprime 10, and the square number 49.
8 is the base of the octal number system, which is mostly used with computers. In octal, one digit represents 3bits. In modern computers, a byte is a grouping of eight bits, also called an octet.
The number 8 is a Fibonacci number, being 3 plus 5. The next Fibonacci number is 13. 8 is the only positive Fibonacci number, aside from 1, that is a perfect cube.[1]
8 is the only nonzero perfect power that is one less than another perfect power, by Mihăilescu's Theorem.
8 is the order of the smallest non-abelian group all of whose subgroups are normal.
8 and 9 form a Ruth–Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.
There are a total of eight convex deltahedra.
A polygon with eight sides is an octagon. Figurate numbers representing octagons (including eight) are calledoctagonal numbers.
A polyhedron with eight faces is an octahedron. A cuboctahedron has as faces six equal squares and eight equal regular triangles.
A cube has eight vertices.
Sphenic numbers always have exactly eight divisors.
8 is the dimension of the octonions and is the highest possible dimension of a normed division algebra.
The number 8 is involved with a number of interesting mathematical phenomena related to the notion of Bott periodicity. For example if
The spin group
The lowest-dimensional even unimodular lattice is the 8-dimensional E8 lattice. Even positive definite unimodular lattice exist only in dimensions divisible by 8.
A figure 8 is the common name of a geometric shape, often used in the context of sports, such as skating. Figure-eight turns of a rope or cable around a cleat, pin, or bitt are used to belay something.
It also is a number in the Fibonacci sequence 1,1,2,3,5,8,13,21
