89 (number)
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Cardinal | eighty-nine | |||
Ordinal | 89th (eighty-ninth) | |||
Factorization | prime | |||
Prime | 24th | |||
Divisors | 1, 89 | |||
Greek numeral | ΠΘ´ | |||
Roman numeral | LXXXIX | |||
Binary | 10110012 | |||
Ternary | 100223 | |||
Senary | 2256 | |||
Octal | 1318 | |||
Duodecimal | 7512 | |||
Hexadecimal | 5916 |
89 (eighty-nine) is the natural number following 88 and preceding 90.
In mathematics
89 is:
- the 24th prime number, following 83 and preceding 97.
- a Chen prime.[1]
- a Pythagorean prime.[2]
- the smallest Sophie Germain prime to start a Cunningham chainof the first kind of six terms, {89, 179, 359, 719, 1439, 2879}.
- an Eisenstein primewith no imaginary part and real part of the form 3n − 1.
- a Fibonacci number and thus a Fibonacci prime as well.[3]The first few digits of its reciprocal coincide with the Fibonacci sequence due to the identity
- a Markov number, appearing in solutions to the Markov Diophantine equation with other odd-indexed Fibonacci numbers.
M89 is the 10th Mersenne prime.
Although 89 is not a Lychrel number in base 10, it is unusual that it takes 24 iterations of the reverse and add process to reach a palindrome. Among the known non-Lychrel numbers in the first 10000 integers, no other number requires that many or more iterations. The palindrome reached is also unusually large: 8813200023188.[4]
There are exactly 1000 prime numbers between 1 and 892=7921. [5]
In science
Eighty-nine is:
- The atomic number of actinium.
In astronomy
- The New General Catalogue object NGC 89, a magnitude 13.5 peculiar spiral galaxy in the constellation Phoenix and a member of Robert's Quartet.
In sports
- The white settlement. The team's home of Oklahoma Citywas founded during this event.
- In Rugby, an "89" or eight-nine move is a phase following a scrum, in which the number 8 catches the ball and transfers it to number 9 (scrum half).
- The grade point average.
- Liverpool and Arsenal in 1989.
In other fields
Eighty-nine is also:
- The designation of Interstate 89, a freeway that runs from New Hampshire to Vermont[7]
- The designation of U.S. Route 89, a north–south highway that runs from Montana to Arizona
- The ISBN Group Identifier for books published in Korea
- "Pop Song 89" by R.E.M.
- A model of the Texas Instruments calculator TI-89
- California Proposition 89, a 2006 California ballot initiative on campaign finance reform
- The title of a currently-unreleased song by Bon Iver
- The greatest number of verses in a chapter of a book of the Bible other than the Book of Psalms—specifically Numbers chapter 7.
- The number of units of each colour in the board game Blokus
- The number of the French department Yonne
- eighty-nine as one of the words censored on the Chinese internet.[8]
See also
References
- ^ "Sloane's A109611 : Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A002144 : Pythagorean primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ "Sloane's A005478 : Prime Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ Weisstein, Eric W. "196-Algorithm." From MathWorld, a Wolfram Web Resource. http://mathworld.wolfram.com/196-Algorithm.html
- ^ "Prime Curios! 89". primes.utm.edu. Retrieved 2022-12-19.
- ^ "NASA/IPAC Extragalactic Database". Results for NGC 4552. Retrieved 2006-10-24.
- ^ "Interstate 89". Interstate Guide. Retrieved December 3, 2018.
- ^ "What Does China Censor Online?". www.informationisbeautiful.net. Retrieved 28 May 2015.