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14 (number)

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← 13 14 15 →
Cardinalfourteen
Ordinal14th
(fourteenth)
Numeral systemtetradecimal
Factorization2 × 7
Divisors1, 2, 7, 14
Greek numeralΙΔ´
Roman numeralXIV
Greek prefixtetrakaideca-
Latin prefixquattuordec-
Binary11102
Ternary1123
Senary226
Octal168
Duodecimal1212
HexadecimalE16

14 (fourteen /fɔːrˈtn/) is the natural number following 13 and preceding 15.

In English speech, the numbers 14 and 40 are sometimes confused. In relation to the word "four" (4), 14 is spelled "fourteen".

In mathematics

Fourteen is a composite number.

In hexadecimal, fourteen is represented as E.

Fourteen is the lowest even n for which the equation φ(x) = n has no solution, making it the first even nontotient (see Euler's totient function).[1]

Take a set of real numbers and apply the closure and complement operations to it in any possible sequence. At most 14 distinct sets can be generated in this way. This holds even if the reals are replaced by a more general topological space. See Kuratowski's closure-complement problem.

14 is a Catalan number.[2]

The cuboctahedron, the truncated cube, and the truncated octahedron each have fourteen faces. The rhombic dodecahedron, which tessellates 3-dimensional space and is the dual of the cuboctahedron, has fourteen vertices. The truncated octahedron, which also tessellates 3-dimensional space, is the only permutohedron.

Fourteen is a Companion Pell number.[3]

According to the Shapiro inequality 14 is the least number n such that there exist x1, x2, …, xn such that

where xn + 1 = x1, xn + 2 = x2.

There are fourteen possible Bravais lattices that fill three-dimensional space.

In science

Chemistry

Astronomy

In religion and mythology

Christianity

Mormonism

Islam

Hinduism

The number of years of Rama's exile in the forests in Hinduism.

Mythology

The number of pieces the body of Osiris was torn into by his fratricidal brother Set.

Age 14

  • Age 14 is the earliest that the emancipation of minors can occur in the U.S.
  • Minimum age a person can purchase, rent or buy tickets to a 14A rated movie in Canada without an adult. Ratings are provincial, so ratings may vary. A movie can be 14A in one or some provinces and PG in other provinces. A movie can also be rated 14A in one or some provinces and 18A in other provinces. Quebec has a different rating system for films.
  • Youngest age in Canada a person can watch a 14+ rated show without consent from a legal guardian.
  • Minimum age at which one can view, rent, purchase, or buy tickets to an 18A rated movie with an accompanying adult in the Canadian provinces of the Maritimes and Manitoba.
  • Minimum age at which one can work in many U.S states. Parental consent may be required, depending on state.
  • Minimum age at which one can work in most Australian states with parent's consent.
  • Minimum age at which one can drive a vehicle in the U.S. with a driver's license (with supervision of an adult over 18 years of age, and with a valid, unmarked driver's license, and at least 365 days of experience driving an actual automobile)
  • The minimum age limit to drive a 50cc motorbike in Italy.
  • The most common age of criminal responsibility in Europe.[5]

In sports

  • In golf, a player can have no more than 14 clubs in the bag.
  • In rugby union, the starting right wing wears the 14 shirt.

In other fields

Fourteen is:

References

  1. ^ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.
  2. ^ "Sloane's A000108 : Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.
  3. ^ "Sloane's A002203 : Companion Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.
  4. ^ "Revelation in Context", Irene Belyeu. 2006. Retrieved 3 feb 2017
  5. ^ Zimring, Franklin (2015). Juvenile Justice in Global Perspective. NYU Press. p. 21. ISBN 978-1-4798-9044-6. Extract of page 21
  6. ^ Bowley, Roger. "14 and Shakespeare the Numbers Man". Numberphile. Brady Haran.
  7. ^ Jean Ann Bowman, Jorge Luis Borges: A study of criticism in the United States, M.A. thesis submitted to and approved by the Graduate Faculty of Texas Tech University, May 1987.