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27 (number)

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← 26 27 28 →
Cardinaltwenty-seven
Ordinal27th
(twenty-seventh)
Factorization33
Divisors1, 3, 9, 27
Greek numeralΚΖ´
Roman numeralXXVII
Binary110112
Ternary10003
Senary436
Octal338
Duodecimal2312
Hexadecimal1B16

27 (twenty-seven) is the natural number following 26 and preceding 28.

In mathematics

  • Twenty-seven is a perfect cube, being 33 = 3 × 3 × 3. 27 is also 23 (see tetration). There are exactly 27 straight lines on a smooth cubic surface, which give a basis of the fundamental representation of the E6 Lie algebra. 27 is also a decagonal number.
  • In base 10, it is the first composite number not divisible by any of its digits.
  • It is the radix (base) of the septemvigesimal positional numeral system.
  • 27 is the only positive integer that is 3 times the sum of its digits.
  • In a prime reciprocal magic square of the multiples of 1/7, the magic constant is 27.
  • In the Collatz conjecture (aka the "3n + 1 conjecture") a starting value of 27 requires 112 steps to reach 1, many more than any lower number.
  • The unique simple formally real Jordan algebra, the exceptional Jordan algebra of self-adjoint 3 by 3 matrices of quaternions, is 27-dimensional.[1]
  • In base 10, it is a Smith number and a Harshad number.
  • It is the twenty-eighth (and twenty-ninth) digit in π. (3.141592653589793238462643383279...). If you start counting with 0 it is considered one of few Self-Locating strings in pi.
  • 27 contains the decimal digits 2 and 7, and is the result of adding together the integers from 2 to 7 (2 + 3 + 4 + 5 + 6 + 7 = 27)
  • There are 27 sporadic groups, if the Tits group is included.

In science

Astronomy

Electronics

In astrology

  • 27 Nakṣatra or lunar mansions in Hindu astrology.

In art

Movies

  • Summer, or 27 missing kisses
  • Chapter 27-I
  • 27 Dresses
  • 27 fights
  • Order number 27
  • Number 27 (written by Michael Palin)

Music

References

  • Three of the cube is zero (science-fiction story)

Other

  • The Minneapolis-based artist Deuce 7 (a.k.a. Deuce Seven, Twenty Seven, 27).

In sports

In other fields

Twenty-seven is also:

  • The 27 Club is a term used to refer to popular musicians who have died at the age of 27
  • A-27 - American attack aircraft
  • The total number of letters in the Hebrew alphabet (22 regular letters and 5 final consonants)
  • The total number of letters in the Spanish alphabet (5 vowels and 22 consonants)
  • The code for international direct-dial phone calls to South Africa
  • The name of a cigarette, Marlboro Blend No. 27
  • Alternate name for The Hunt, a book by William Diehl
  • The number of the French department Eure
  • Abbé Faria's prisoner number in the book The Count of Monte Cristo
  • One of the anthropomorphic math symbols Lisa Simpson imagines talking to her in The Simpsons episode "Girls Just Want to Have Sums", which, instead of offering the expected pun-based aphorism, rather unhelpfully only says "twenty seven"
  • In Stephen King's novel "It", It returns every 27 years to Derry.
  • 27 is the number of bones in the human hand.[3]
  • Average crowd funded contribution in the "Bernie Sanders 2016" campaign.[citation needed]

See also

References

  1. ^ V. G. Kac, "Classification of Simple Z-Graded Lie Superalgebras and Simple Jordan Superalgebras" Communications in Algebra 5 13 (1977): 1380
  2. ^ http://titlefightmusic.bandcamp.com/album/shed
  3. ^ Steve Jenkins, Bones (2010), ISBN 978-0-545-04651-0