27 (number)
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| Cardinal | twenty-seven | |||
| Ordinal |
27th (twenty-seventh) | |||
| Factorization | 33 | |||
| Divisors | 1, 3, 9, 27 | |||
| Roman numeral | XXVII | |||
| Binary | 110112 | |||
| Ternary | 10003 | |||
| Quaternary | 1234 | |||
| Quinary | 1025 | |||
| Senary | 436 | |||
| Octal | 338 | |||
| Duodecimal | 2312 | |||
| Hexadecimal | 1B16 | |||
| Vigesimal | 1720 | |||
| Base 36 | R36 | |||
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.[1]
- 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 111 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.[2]
- In base 10, it is a Smith number[3] and a Harshad number.[4]
- It is the twenty-eighth (and twenty-ninth) digit in π. (3.141592653589793238462643383279...). If you start counting with 0 it is one of few known 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
- The atomic number of cobalt.
- The atomic weight of the only stable isotope of aluminum.
- Dark matter is thought to make up 27% of the universe.
Astronomy
- The Messier object M27, a magnitude 7.5 planetary nebula in the constellation Vulpecula, also known as the Dumbbell Nebula.
- The New General Catalogue object NGC 27, a spiral galaxy in the constellation Andromeda
- The Saros number of the solar eclipse series which began on 1993 March and ended on 713 April. The duration of Saros series 27 was 1280.1 years, and it contained 72 solar eclipses. Further, the Saros number of the lunar eclipse series which began on 1944 July and ended on 411 January. The duration of Saros series 27 was 1532.5 years, and it contained 86 lunar eclipses.
Electronics
- The type 27 vacuum tube (valve), a triode introduced in 1927, was the first tube mass-produced for commercial use to incorporate an indirectly heated cathode. This made it the first vacuum tube that could function as a detector in AC-powered radios. Prior to the introduction of the 27, home radios were powered by a set of three or more storage batteries with voltages of 3 volts to 135 volts.
In language and literature
- The number of letters in the Spanish alphabet.
In astrology
- 27 Nakṣatra or lunar mansions in Hindu astrology.
In art
Movies
- Summer, or 27 Missing Kisses
- Chapter 27-I
- 27 Dresses
- Number 27 (written by Michael Palin)
Music
- On Fall Out Boy's album Folie à Deux, there is a song called "27".
- On Passenger's album Whispers, there is also a song called "27".
- On Title Fight's album "Shed", song 10 is titled "27".[5]
- On Biffy Clyro's album Blackened Sky, there is a song called "27".
- Kim Sung-kyu, South Korean singer, his album name called "27".
- "Weird Al" Yankovic thinks it's a funny number, and it shows up on at least one song in almost every album of his.
- Twenty-Seven, album by The Adicts
- French rapper Kaaris' signature number is 27, from his zipcode 93270
- "Twenty Seven Strangers" by Villagers
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
- The number of outs in a regulation baseball game for each team at all adult levels, including professional play, is 27.
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.[6]
- Average crowd funded contribution in the Bernie Sanders 2016 campaign.
See also
References
- ↑ "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
- ↑ V. G. Kac, "Classification of Simple Z-Graded Lie Superalgebras and Simple Jordan Superalgebras" Communications in Algebra 5 13 (1977): 1380
- ↑ "Sloane's A006753 : Smith numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
- ↑ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.
- ↑ http://titlefightmusic.bandcamp.com/album/shed
- ↑ Steve Jenkins, Bones (2010), ISBN 978-0-545-04651-0
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987), p. 106.
- Mystery of the number 27 - Large collection of 27 related trivia and facts.
- Prime Curios! 27 from the Prime Pages
- The 27 Project - collection of 27 sightings in movies, TV, culture and art
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