27 (number)

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

26 27 28
Cardinaltwenty-seven
Ordinal27th
Factorization33
Divisors1, 3, 9, 27
Greek numeralΚΖ´
Roman numeralXXVII
Binary110112
Ternary10003
Senary436
Octal338
Duodecimal2312
Hexadecimal1B16

In mathematics

  • Twenty-seven is a cube of 3: .
  • 27 is the second non-unitary cube prime of the form p3
  • 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.[1]
  • 27 is the value of the expression , where .
  • In decimal, it is the first composite number not divisible by any of its digits.
  • It is the radix (base) of the septemvigesimal positional numeral system.
  • In decimal, 27 is the only positive integer that is three times the sum of its digits.
  • In a prime reciprocal magic square of the multiples of 1/7, the magic constant is 27.
  • Including the null-motif, there are 27 distinct hypergraph motifs. [2]
  • In the Collatz conjecture (aka the " conjecture"), a starting value of 27 requires 111 steps to reach 1, more than any number smaller than it.
  • The unique simple formally real Jordan algebra, the exceptional Jordan algebra of self-adjoint 3 by 3 matrices of quaternions, is 27-dimensional.[3]
  • In decimal, it is a Smith number[4] and a Harshad number.[5]
  • It is located at the twenty-eighth (and twenty-ninth) digit after the decimal point in π. (3.141592653589793238462643383279...). If one starts counting with 0, it is one of few known self-locating strings in pi.
  • In decimal, 27 is the sum of the numbers between and including its digits ().
  • There are 27 sporadic groups, if the Tits group is included.
  • If one cyclically rotates the digits of a three-digit number that is a multiple of 27, the new number is also a multiple of 27. For example, 378, 783, and 837 are all divisible by 27.
  • Any multiple of 27 with "000" or "999" inserted yields another multiple of 27. For example, 20007, 29997, 50004, and 59994 are all multiples of 27.
  • Any multiple of 27 can be mirrored and spaced with a zero each for another multiple of 27. For example, 27 and 702, 54 and 405, and 378 and 80703 are all multiples of 27.
  • In senary, one can readily test for divisibility by 43 (decimal 27) by seeing if the last three digits of the number match 000, 043, 130, 213, 300, 343, 430, or 513.
  • 27 is divisible by the number of prime numbers below it, nine.

In science

Astronomy

Electronics

In language and literature

In astrology

  • 27 Nakṣatra or lunar mansions in Hindu astrology.

In art

Movies

Music

  • "27", a song by Fall Out Boy on the album Folie à Deux
  • "27", a song by Passenger on the album Whispers
  • "27", a song by Title Fight on the album Shed.[11]
  • "27", a song by Biffy Clyro on the album Blackened Sky
  • "27", a song on Machine Gun Kelly's album Bloom
  • "27 Jennifers", a song by Mike Doughty on the album Rockity Roll
  • 27, an album by South Korean singer Kim Sung-kyu
  • 27, an album by Argentine rock band Ciro y los Persas
  • Twenty-Seven, an album by The Adicts.
  • French rapper Kaaris' signature number is 27, from his zip code 93270.
  • "Twenty Seven Strangers" by Villagers.
  • 27, a Boston-based band
  • 27, an opera by composer Ricky Ian Gordon and librettist Royce Vavrek
  • 27 Club, a list of popular musicians, artists, or actors who died at age 27
  • "Weird Al" Yankovic has a recurring joke involving the number 27, which is used in several songs.

Other

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

In sports

  • The value of all the colors in snooker add up to 27.
  • The number of outs in a regulation baseball game for each team at all adult levels, including professional play, is 27.
  • The New York Yankees have won 27 World Series championships, the most of any team in the MLB.

In other fields

Twenty-seven is also:

See also

References

  1. "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved May 31, 2016.
  2. "Mining of Real-world Hypergraphs: Concepts, Patterns, and Generators". Geon Lee, Jaemin Yoo, and Kijung Shin. ACM Digital Library. Retrieved May 31, 2023.
  3. V. G. Kac, "Classification of Simple Z-Graded Lie Superalgebras and Simple Jordan Superalgebras" Communications in Algebra 5 13 (1977): 1380
  4. "Sloane's A006753 : Smith numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved May 31, 2016.
  5. "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved May 31, 2016.
  6. "Dark Energy, Dark Matter | Science Mission Directorate". science.nasa.gov. Retrieved November 8, 2020.
  7. Steve Jenkins, Bones (2010), ISBN 978-0-545-04651-0
  8. "Catalog of Solar Eclipses of Saros 27". NASA Eclipse Website. NASA. Retrieved February 27, 2022.
  9. "Catalog of Lunar Eclipses in Saros 27". NASA Eclipse Website. NASA. Retrieved February 27, 2022.
  10. "SpanishDict Grammar Guide". SpanishDict. Retrieved August 19, 2020.
  11. "Shed, by Title Fight".
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