89 (NUMBER)
'89' ('eighty-nine') is the natural number following 88 and preceding 90.
'Eighty-nine' is the 24th prime number, following 83 and preceding 97. 89 is a Chen prime. It is the smallest Sophie Germain prime to start a Cunningham chain of the first kind of six terms, {89, 179, 359, 719, 1439, 2879}. 89 is an Eisenstein prime with no imaginary part and real part of the form .
89 is a Fibonacci number. Its reciprocal has a curious relationship to the Fibonacci sequence F(n):
89 is also a Markov number, appearing in solutions to the Markov Diophantine equation with other odd-indexed Fibonacci numbers.
Being the solution to ''x'' - φ(''x'') more often than any lower number, 89 is a highly cototient number.
Although 89 is a prime number, all of its digits,(8,9), are composite.
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.[1]
★ The atomic number of actinium.
★ Messier object M89, a magnitude 11.5 elliptical galaxy in the constellation Virgo.
★ 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.
'Eighty-nine' is also:
★ A jersey number of a Russian and NHL hockey legend Alexander Mogilny
★ Part of the name of the baseball team Oklahoma City 89ers (1962-1997)
★ The designation of Interstate 89, a freeway that runs from New Hampshire to Vermont
★ The ISBN Group Identifier for books published in Korea
★ Pop Song 89
★ The year AD '89', 89 BC
★ California Proposition 89, a 2006 California ballot initiative on campaign finance reform
★ The Oklahoma Redhawks were formerly known as the Oklahoma 89ers.
1. Weisstein, Eric W. "196-Algorithm." From MathWorld, a Wolfram Web Resource. http://mathworld.wolfram.com/196-Algorithm.html
| Cardinal | 89 eighty-nine |
| Ordinal | 89th eighty-ninth |
| Factorization | |
| Divisors | 1, 89 |
| Roman numeral | LXXXIX |
| Binary | 01011001 |
| Hexadecimal | 59 |
| Contents |
| In mathematics |
| In science |
| In astronomy |
| In other fields |
| References |
In mathematics
'Eighty-nine' is the 24th prime number, following 83 and preceding 97. 89 is a Chen prime. It is the smallest Sophie Germain prime to start a Cunningham chain of the first kind of six terms, {89, 179, 359, 719, 1439, 2879}. 89 is an Eisenstein prime with no imaginary part and real part of the form .
89 is a Fibonacci number. Its reciprocal has a curious relationship to the Fibonacci sequence F(n):
89 is also a Markov number, appearing in solutions to the Markov Diophantine equation with other odd-indexed Fibonacci numbers.
Being the solution to ''x'' - φ(''x'') more often than any lower number, 89 is a highly cototient number.
Although 89 is a prime number, all of its digits,(8,9), are composite.
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.[1]
In science
★ The atomic number of actinium.
In astronomy
★ Messier object M89, a magnitude 11.5 elliptical galaxy in the constellation Virgo.
★ 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 other fields
'Eighty-nine' is also:
★ A jersey number of a Russian and NHL hockey legend Alexander Mogilny
★ Part of the name of the baseball team Oklahoma City 89ers (1962-1997)
★ The designation of Interstate 89, a freeway that runs from New Hampshire to Vermont
★ The ISBN Group Identifier for books published in Korea
★ Pop Song 89
★ The year AD '89', 89 BC
★ California Proposition 89, a 2006 California ballot initiative on campaign finance reform
★ The Oklahoma Redhawks were formerly known as the Oklahoma 89ers.
References
1. Weisstein, Eric W. "196-Algorithm." From MathWorld, a Wolfram Web Resource. http://mathworld.wolfram.com/196-Algorithm.html
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