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24 20 4

24 (twenty-four) is the natural number following 23 and preceding 25. "Twenty" redirects here For the village in England, see Twenty Lincolnshire. In mathematics Four is the smallest Composite number, its proper Divisors being and. In Mathematics, a natural number (also called counting number) can mean either an element of the set (the positive Integers or an This article is about the number 23 For the year see 23. For the movies see 23 (film and The Number 23. 25 ( twenty-five) is the Natural number following 24 and preceding 26.

The SI prefix for 1024 is yotta (Y), and for 10-24 (i. An SI prefix (also known as a metric prefix) is a name or associated symbol that precedes a unit of measure (or its symbol to form a Decimal multiple or yotta- (symbol Y) is an SI prefix in the SI ( System of units) denoting 1024 or 1 000 000 000 000 000 000 000 000 e. , the reciprocal of 1024) yocto (y). yocto- (symbol y) is an SI prefix in the SI system of units denoting a factor of 10−24 or 0 These numbers are the largest and smallest number to receive an SI prefix to date.

0 10 20 30 40 50 60 70 80 90

Cardinal 24
twenty-four
Ordinal 24th
twenty-fourth
Factorization 2^3 \cdot 3
Divisors 1, 2, 3, 4,
6, 8, 12, 24
Roman numeral XXIV
Binary 11000
Hexadecimal 18

Contents

In mathematics

24 is the factorial of 4 and a composite number, being the first number of the form 23q, where q is an odd prime. 19 ( nineteen) is the Natural number following 18 and preceding 20. "Twenty" redirects here For the village in England, see Twenty Lincolnshire. 21 ( twenty-one) is the Natural number following 20 and preceding 22. 22 ( twenty-two) is the Natural number following 21 and preceding 23. This article is about the number 23 For the year see 23. For the movies see 23 (film and The Number 23. 25 ( twenty-five) is the Natural number following 24 and preceding 26. 26 ( twenty-six) is the Natural number following 25 and preceding 27. 27 ( twenty-seven) is the Natural number following 26 and preceding 28. 28 ( twenty-eight) is the Natural number following 27 and preceding 29. 29 ( twenty-nine) is the Natural number following 28 and preceding 30. 30 ( thirty) is the Natural number following 29 and preceding 31. This is a list of articles about Numbers ( not about Numerals. The integers (from the Latin integer, literally "untouched" hence "whole" the word entire comes from the same origin but via French "Twenty" redirects here For the village in England, see Twenty Lincolnshire. 30 ( thirty) is the Natural number following 29 and preceding 31. 40 ( forty) is the Natural number following 39 and preceding 41. This article discusses the number fifty. For the year 50 CE see 50. 60 ( sixty) is the Natural number following 59 and preceding 61. 70 ( seventy) is the Natural number following 69 and preceding 71. 80 ( eighty) is the Natural number following 79 and preceding 81. 90 ( ninety) is the Natural number preceded by 89 and followed by 91. This article describes cardinal numbers in mathematics For cardinals in linguistics see Names of numbers in English. In Set theory, an ordinal number, or just ordinal, is the Order type of a Well-ordered set. In Mathematics, factorization ( also factorisation in British English) or factoring is the decomposition of an object (for In Mathematics, a divisor of an Integer n, also called a factor of n, is an integer which evenly divides n without Roman numerals are a Numeral system originating in ancient Rome, adapted from Etruscan numerals. The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1. In Mathematics and Computer science, hexadecimal (also base -, hexa, or hex) is a Numeral system with a Definition The factorial function is formally defined by n!=\prod_{k=1}^n k A composite number is a positive Integer which has a positive Divisor other than one or itself In Mathematics, a prime number (or a prime) is a Natural number which has exactly two distinct natural number Divisors 1

It is the smallest number with exactly eight divisors: 1, 2, 3, 4, 6, 8, 12, and 24. In Mathematics, a divisor of an Integer n, also called a factor of n, is an integer which evenly divides n without Mathematics For any number x: x ·1 = 1· x = x (1 is the multiplicative identity In mathematics Two has many properties in Mathematics. An Integer is called Even if it is divisible by 2 ---- In mathematics Three is the first odd Prime number, and the second smallest prime In mathematics Four is the smallest Composite number, its proper Divisors being and. In mathematics Six is the second smallest Composite number, its proper Divisors being 1, 2 and 3. In mathematics 8 is a Composite number, its Proper divisors being 1, 2, and 4. It is a highly composite number, having more divisors than any smaller number. A highly composite number ( HCN) is a positive Integer with more Divisors than any smaller positive integer Adding up all the proper divisors of 24 except 4 and 8 gives 24, hence 24 is a semiperfect number. In Mathematics, a semiperfect number or pseudoperfect number is a Natural number n that is equal to the sum of all or some of its Proper

Subtracting one from any of its divisors (except 1 and 2, but including itself) yields a prime number. In Mathematics, a prime number (or a prime) is a Natural number which has exactly two distinct natural number Divisors 1 24 is the largest number with this property, for to have this property a number cannot be divisible by a prime greater than three, nor can it be divisible by 9 or 16.

24 has an aliquot sum of 36 and the aliquot sequence (24,36,55,17,1,0). In Mathematics, and specifically in Number theory, a divisor function is an Arithmetical function related to the Divisors of an Integer In Mathematics, an aliquot sequence is a recursive sequence in which each term is the sum of the Proper divisors of the previous term

There are 10 solutions to the equation φ(x) = 24, namely 35, 39, 45, 52, 56, 70, 72, 78, 84 and 90. In Number theory, the totient \varphi(n of a Positive integer n is defined to be the number of positive integers less than or equal to This is more than any integer below 24, making 24 a highly totient number. A highly totient number k is an integer that has more solutions to the equation φ( x) = k, where φ is Euler's totient function, than any integer

24 is a nonagonal number. A nonagonal number or enneagonal number is a Figurate number that represents a Nonagon. This number is also the sum of a twin prime (11 + 13). A twin prime is a Prime number that differs from another prime number by Two. It is a Harshad number and a semi-meandric number. A Harshad number, or Niven number, is an Integer that is divisible by the sum of its digits in a given number base. In Mathematics, a meander or closed meander is a self-avoiding Closed curve which intersects a line a number of times

Together with the number one, 24 is one of the few numbers n for which the sum of μ(d)d2 over the divisors d of n is equal to itself.

The product of any four consecutive numbers is divisible by 24. This is because, among any four consecutive numbers, there must be two even numbers, one of which is a multiple of four, and there must be a multiple of three. [1]

In 24 dimensions there are 24 even positive definite unimodular lattices, called the Niemeier lattices. In Mathematics, a unimodular lattice is a lattice of Discriminant 1 or &minus1 In Mathematics, a Niemeier lattice is one of the 24 Positive definite even Unimodular lattices of rank 24which were classified by. One of these is the exceptional Leech lattice which has many surprising properties; due to its existence, the answers to many problems such as the kissing number problem and sphere packing are known in 24 dimensions but not in many lower dimensions. In Mathematics, the Leech lattice is a particular lattice &Lambda in 24-dimensional Euclidean space, '''R'''24 discovered by In Geometry, the kissing number is the maximum number of Spheres of radius 1 that can simultaneously touch the unit sphere in n -dimensional Euclidean In Mathematics, sphere packing problems are problems concerning arrangements of non-overlapping identical Spheres which fill a space The Leech lattice is closely related to the equally nice length-24 binary Golay code and the Steiner system S(5,8,24) and the Mathieu group M24. In Mathematics and Computer science, a binary Golay code is a type of Error-correcting code used in Digital communications The binary Golay code In combinatorial Mathematics, a Steiner system (named after Jakob Steiner) is a type of Block design. In the Mathematical field of Group theory, the Mathieu groups, named after the French mathematician Émile Léonard Mathieu, are five finite simple One construction of the Leech lattice is possible because of the remarkable fact that 12+22+32+. In Mathematics, the Leech lattice is a particular lattice &Lambda in 24-dimensional Euclidean space, '''R'''24 discovered by . . +242 =702 is a perfect square; 24 is the only integer greater than 1 with this property. This article refers to the REM live recording For the mathematical term see Perfect square. These properties of 24 are related to the fact that the number 24 also appears in several places in the theory of modular forms; for example, the modular discriminant is the 24th power of the Dedekind eta function. In Mathematics, a modular form is a (complex Analytic function on the Upper half-plane satisfying a certain kind of Functional equation and In Mathematics, Weierstrass's elliptic functions are Elliptic functions that take a particularly simple form (cf Jacobi's elliptic functions) they are named The Dedekind eta function, named after Richard Dedekind, is a function defined on the Upper half-plane of Complex numbers whose imaginary part is positive

The Barnes-Wall lattice contains 24 lattices. In mathematics the Barnes–Wall lattice &Lambda16 discovered by, is the 16-dimensional positive-definite even integral lattice of discriminant 28 In Mathematics, especially in Geometry and Group theory, a lattice in R n is a Discrete subgroup of

24 is the highest number n with the property that every element of the group of units (Z/nZ)* of the commutative ring Z/nZ, apart from the identity element, has order 2; thus the multiplicative group (Z/24Z)* = {1,5,7,11,13,17,19,23} is isomorphic to the additive group (Z/2Z)3. In Mathematics, a unit in a ( Unital) ring R is an invertible element of R, i In Modular arithmetic the set of Congruence classes Relatively prime to the modulus n form a group under multiplication called the multiplicative In Ring theory, a branch of Abstract algebra, a commutative ring is a ring in which the multiplication operation has the commutative property In Mathematics, modular arithmetic (sometimes called modulo arithmetic, or clock arithmetic) is a system of Arithmetic for Integers In Abstract algebra, a group isomorphism is a function between two groups that sets up a one-to-one correspondence between the elements of the groups in This fact plays a role in monstrous moonshine. In Mathematics, monstrous moonshine is a term devised by John Horton Conway and Simon P

The 24-cell, with 24 octahedral cells and 24 vertices, is a self-dual convex regular 4-polytope; it has no good 3-dimensional analogue. Constructions A 24-cell is given as the Convex hull of its vertices In Geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the In Mathematics, a convex regular 4-polytope (or Polychoron) is 4- Dimensional Polytope which is both regular and convex

In science

In religion

In music

There are 24 major and minor keys in Western tonal music, not counting enharmonic equivalents. See also List of elements by atomic number In Chemistry and Physics, the atomic number (also known as the proton Chromium (ˈkroʊmiəm is a Chemical element which has the symbol Cr and Atomic number 24 See also Old testament, Septuagint, Targum, Peshitta The Tanakh (תַּנַ"ךְ (taˈnax or; also Tenakh or Tenak is Tonality is a system of Music in which specific hierarchical pitch relationships are based on a key "center" or tonic. In modern Music and notation, an enharmonic equivalent is a Note ( enharmonic tone) interval ( enharmonic interval) or Therefore, for collections of pieces written in each key, the number of pieces in such a collection; e. g. , Chopin's 24 Preludes

In sports

In other fields

Astronomical clock in Prague
Astronomical clock in Prague

24 is also:

Image:Seven-segment 2.svg Image:Seven-segment 4.svg

Historical years

24 A.D., 24 B.C., 1924, 2024, etc. Monarch henchmen, in particular the recurring characters #21 and #24, are supporting characters of the Adult Swim program The The Venture Bros (alternatively The Venture Brothers) is an American Animated television series airing as part of Adult Swim Straight Edge refers to a lifestyle that started within the Hardcore punk subculture whose adherents make a commitment to refrain from using alcohol, Tobacco Year 24 was a Leap year starting on Saturday (link will display the full calendar of the Julian calendar. Year 24 BC was a Common year starting on Thursday (link will display the full calendar of the Julian calendar. Year 1924 ( MCMXXIV) was a Leap year starting on Tuesday (link will display the full calendar of the Gregorian calendar. 2024 ( MMXXIV) will be a Leap year starting on Monday of the Gregorian calendar.

Famous 24-year-olds

Alex Wotherspoon, Apprentice series 4 finalist, is apparently 24.

References

  1. ^ (1864) Chambers's Encyclopædia, p. 826.  

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