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34 number - In mathematics | | 34 number - In mathematics: Encyclopedia II - 34 number - In mathematics | | 34 has four divisors, 1, 2, 17 and itself. Its neighbors, 33 and 35 also have four divisors each, and 34 is the smallest number to be surrounded by numbers with the same number of divisors as it has.
It is the ninth Fibonacci number and a companion Pell number. Since it is an odd-indexed Fibonacci number, 34 is a Markov number, appearing in solutions with other Fibonacci numbers, such as (1, 13, 34), (1, 34, 89), etc.
This number is the magic constant of a 4 by 4 magic square:
This number is also the magic constant of n-Queens Problem for n = 4 ...
See also:34 number, 34 number - In mathematics, 34 number - In science, 34 number - In other fields | | | 34 number, 34 number - In mathematics, 34 number - In other fields, 34 number - In science | | |
| | | 34 number: Encyclopedia II - 34 number - In mathematics
34 number - In mathematics
34 has four divisors, 1, 2, 17 and itself. Its neighbors, 33 and 35 also have four divisors each, and 34 is the smallest number to be surrounded by numbers with the same number of divisors as it has.
It is the ninth Fibonacci number and a companion Pell number. Since it is an odd-indexed Fibonacci number, 34 is a Markov number, appearing in solutions with other Fibonacci numbers, such as (1, 13, 34), (1, 34, 89), etc.
This number is the magic constant of a 4 by 4 magic square:
This number is also the magic constant of n-Queens Problem for n = 4.
Thirty-four is a heptagonal number.
There is no answer to the equation φ(x) = 34, making 34 a nontotient. Nor is there an answer to the equation x - φ(x) = 34, making 34 a noncototient.
Other related archives>>, <<, 0, 10, 1934, 20, 30, 31, 32, 33, 34 B.C., 35, 36, 37, 38, 39, 40, 50, 60, 70, 80, 90, 34 A.D., August 4, Buffalo Bills, Cetus, Chicago Bears, Earl Campbell, February 9, Fibonacci number, French department, Houston Oilers, Hérault, Integers, Istanbul, June 19, List of numbers, M34, Markov number, May 2, Messier object, Miracle on 34th Street, New General Catalogue, Pell number, Perseus, Saros, Spain, Thurman Thomas, Walter Payton, astronomy, atomic number, code for international direct dial, constellation, heptagonal number, lunar eclipse, magic constant, magic square, magnitude, n-Queens Problem, natural number, noncototient, nontotient, open cluster, peculiar galaxy, puzzle, selenium, solar eclipse, φ
 Adapted from the Wikipedia article "In mathematics", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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