89 (number)

← 88 89 90 →
← 80 81 82 83 84 85 86 87 88 89 → List of numbers Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	eighty-nine
Ordinal	89th (eighty-ninth)
Factorization	prime
Prime	24th
Divisors	1, 89
Greek numeral	ΠΘ´
Roman numeral	LXXXIX, 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 chain of the first kind of six terms, {89, 179, 359, 719, 1439, 2879}.
• an Eisenstein prime with no imaginary part and real part of the form 3n − 1.
• The 11th 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

${\displaystyle {\frac {1}{89}}=\sum _{n=1}^{\infty }{F(n)\times 10^{-(n+1)}}=0.011235955\dots \ .}$

• 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 sports

• The Oklahoma Redhawks, an American minor league baseball team, were formerly known as the Oklahoma 89ers (1962–1997). The number alludes to the Land Run of 1889, when the Unassigned Lands of Oklahoma were opened to white settlement. The team's home of Oklahoma City was 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).

In other fields

Diaethria clymena eyespots

Eighty-nine is also:

• Information Is Beautiful cites eighty-nine as one of the words censored on the Chinese internet. ^[6]

See also

• Hellin's law

References

1. "Sloane's A109611 : Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
2. "Sloane's A002144 : Pythagorean primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
3. "Sloane's A005478 : Prime Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
4. Weisstein, Eric W. "196-Algorithm." From MathWorld, a Wolfram Web Resource. http://mathworld.wolfram.com/196-Algorithm.html
5. "Prime Curios! 89". primes.utm.edu. Retrieved 2022-12-19.
6. "What Does China Censor Online?". www.informationisbeautiful.net. Retrieved 28 May 2015.