89 (number)

89 (eighty-nine) is the natural number following 88 and preceding 90.

 ← 88 89 90 →
Cardinaleighty-nine
Ordinal89th
(eighty-ninth)
Factorizationprime
Prime24th
Divisors1, 89
Greek numeralΠΘ´
Roman numeralLXXXIX
Binary10110012
Ternary100223
Octal1318
Duodecimal7512

In mathematics

89 is:

${\displaystyle {\frac {1}{89}}=\sum _{n=1}^{\infty }{F(n)\times 10^{-(n+1)}}=0.011235955\dots \ .}$
• 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.[4]

Eighty-nine is:

In other fields

Eighty-nine is also:

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. ^ http://www.informationisbeautiful.net/2010/what-does-china-censor-online/ retrieved 28 May 2015