| ||||
---|---|---|---|---|
Cardinal | fourteen | |||
Ordinal | 14th (fourteenth) | |||
Numeral system | tetradecimal | |||
Factorization | 2 × 7 | |||
Divisors | 1, 2, 7, 14 | |||
Greek numeral | ΙΔ´ | |||
Roman numeral | XIV | |||
Greek prefix | tetrakaideca- | |||
Latin prefix | quattuordec- | |||
Binary | 11102 | |||
Ternary | 1123 | |||
Senary | 226 | |||
Octal | 168 | |||
Duodecimal | 1212 | |||
Hexadecimal | E16 | |||
Hebrew numeral | י"ד | |||
Babylonian numeral | 𒌋𒐘 |
14 (fourteen) is a natural number following 13 and preceding 15.
In relation to the word "four" (4), 14 is spelled "fourteen".
Fourteen is the seventh composite number. It is specifically, the third distinct semiprime, [1] being the third of the form (where is a higher prime). More specifically, it is the first member of the second cluster of two discrete semiprimes (14, 15); the next such cluster is (21, 22), members whose sum is the fourteenth prime number, 43. It has an aliquot sum of 8, within an aliquot sequence of two composite numbers (14, 8, 7, 1, 0) in the prime 7-aliquot tree.
14 is the third companion Pell number and the fourth Catalan number. [2] [3] It is the lowest even for which the Euler totient has no solution, making it the first even nontotient. [4]
According to the Shapiro inequality, 14 is the least number such that there exist , , , where: [5]
with and
A set of real numbers to which it is applied closure and complement operations in any possible sequence generates 14 distinct sets. [6] This holds even if the reals are replaced by a more general topological space; see Kuratowski's closure-complement problem.
After 11 (the third super-prime), 14 is the first of only two composite numbers whose arithmetic mean of divisors is the first perfect number and unitary perfect number, 6 (the other number is 15). [7] [8]
14 is the number of equilateral triangles that are formed by the sides and diagonals of a regular six-sided hexagon. [9] In a hexagonal lattice, 14 is also the number of fixed two-dimensional triangular-celled polyiamonds with four cells. [10]
There are fourteen polygons that can fill a plane-vertex tiling, where five polygons tile the plane uniformly, and nine others only tile the plane alongside irregular polygons. [11] [12]
The Klein quartic is a compact Riemann surface of genus 3 that has the largest possible automorphism group order of its kind (of order 168) whose fundamental domain is a regular hyperbolic 14-sided tetradecagon, with an area of by the Gauss-Bonnet theorem.
Several distinguished polyhedra in three dimensions contain fourteen faces or vertices as facets:
A regular tetrahedron cell, the simplest uniform polyhedron and Platonic solid, is made up of a total of 14 elements: 4 edges, 6 vertices, and 4 faces.
14 is also the root (non-unitary) trivial stella octangula number, where two self-dual tetrahedra are represented through figurate numbers, while also being the first non-trivial square pyramidal number (after 5); [19] [20] the simplest of the ninety-two Johnson solids is the square pyramid [lower-alpha 1] There are a total of fourteen semi-regular polyhedra, when the pseudorhombicuboctahedron is included as a non-vertex transitive Archimedean solid (a lower class of polyhedra that follow the five Platonic solids). [21] [22] [lower-alpha 2]
Fourteen possible Bravais lattices exist that fill three-dimensional space. [23]
The exceptional Lie algebra G2 is the simplest of five such algebras, with a minimal faithful representation in fourteen dimensions. It is the automorphism group of the octonions , and holds a compact form homeomorphic to the zero divisors with entries of unit norm in the sedenions, . [24] [25]
The floor of the imaginary part of the first non-trivial zero in the Riemann zeta function is , [26] in equivalence with its nearest integer value, [27] from an approximation of [28] [29]
14 is the atomic number of silicon, and the approximate atomic weight of nitrogen. The maximum number of electrons that can fit in an f sublevel is fourteen.
According to the Gospel of Matthew "there were fourteen generations in all from Abraham to David, fourteen generations from David to the exile to Babylon, and fourteen from the exile to the Messiah". (Matthew 1, 17)
The number of Muqattaʿat in the Quran.
The number of pieces the body of Osiris was torn into by his fratricidal brother Set.
The number 14 was regarded as connected to Šumugan and Nergal. [30]
Fourteen is:
2 (two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and only even prime number.
42 (forty-two) is the natural number that follows 41 and precedes 43.
10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.
20 is the natural number following 19 and preceding 21.
19 (nineteen) is the natural number following 18 and preceding 20. It is a prime number.
33 (thirty-three) is the natural number following 32 and preceding 34.
90 (ninety) is the natural number following 89 and preceding 91.
24 (twenty-four) is the natural number following 23 and preceding 25.
27 is the natural number following 26 and preceding 28.
84 (eighty-four) is the natural number following 83 and preceding 85.
37 (thirty-seven) is the natural number following 36 and preceding 38.
57 (fifty-seven) is the natural number following 56 and preceding 58.
63 (sixty-three) is the natural number following 62 and preceding 64.
92 (ninety-two) is the natural number following 91 and preceding 93.
104 is the natural number following 103 and preceding 105.
135 is the natural number following 134 and preceding 136.
138 is the natural number following 137 and preceding 139.
257 is the natural number following 256 and preceding 258.
5 (five) is a number, numeral and digit. It is the natural number, and cardinal number, following 4 and preceding 6, and is a prime number.
744 is the natural number following 743 and preceding 745.