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Topic: Harmonic divisor number


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 Encyclopedia: 1 (number)   (Site not responding. Last check: 2007-11-07)
In number theory, the totient φ(n) of a positive integer n is defined to be the number of positive integers less than or equal to n and coprime to n.
In harmonic analysis of tonal music, the tonic chord is referred to as I. The tonic is the first note of a musical scale, and in the tonal method of music composition it is extremely important.
In some sports, one is the number of a specific position: in rugby union, the number of the loosehead prop; in baseball, the number representing the pitcher's position; in football, the number of the goalkeeper.
www.nationmaster.com /encyclopedia/1-(number)   (6306 words)

  
 Encyclopedia: 6 (number)   (Site not responding. Last check: 2007-11-07)
In geometry, the kissing number problem is to find the maximum number of spheres of radius 1 that can simultaneously touch the unit sphere in n-dimensional Euclidean space (or, with the restriction for their centres to be in a particular lattice).
In astronomy, The atomic number (Z) is a term used in chemistry and physics to represent the number of protons found in the nucleus of an atom.
Number Six Number Six is a gynoid Cylon agent portrayed by Canadian actress Tricia Helfer in the television remake of Battlestar Galactica which first aired as a mini-series in 2003 and continued as a weekly series aired in the United Kingdom in the fall of 2004 and in North...
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 What's Special About This Number?   (Site not responding. Last check: 2007-11-07)
is the number of planar partitions of 10.
is the number of planar partitions of 11.
is the number of planar partitions of 12.
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 CONK! Encyclopedia: 1000000_(number)   (Site not responding. Last check: 2007-11-07)
The million is sometimes used in the English language as a metaphor for a very large number, as in "Never in a million years" and "You're one in a million", or a hyperbole, as in "I've walked a million miles".
The word "million" is common to the short scale and long scale numbering systems (and also to the proposed Rowlett numbering system), unlike the larger numbers, which have different names in the two systems.
1048576 = 2^20 (power of two), 2116-gonal number, an 8740-gonal number and a 174764-gonal number, the number of bytes in a mebibyte, the number of kibibytes in a gibibyte, and so on.
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 Articles - 140 (number)   (Site not responding. Last check: 2007-11-07)
140 is an abundant number and a harmonic divisor number.
This number is the sum of three consecutive primes (43 + 47 + 53), as well as the sum of seven consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31).
It is a heptagonal number and a centered heptagonal number.
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 6 (number)   (Site not responding. Last check: 2007-11-07)
Six is the second smallest composite number, its proper divisors being 1 (number), 2 (number) and 3 (number).
The number of similar coins that can be arranged around a central seventh coin of the same kind so that each coin makes contact with the central one and touches both its neighbors without a gap, see also Sphere packing.
Number Six (Battlestar Galactica) is a character in the television mini-series and series Battlestar Galactica (2003).
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 1 (number)
One is currently not usually thought of as a prime number, but it is considered by some to be such, and it would be under a simple definition for primality: that the number be only divisible by one and itself - one is certainly itself.
To exclude the number one from the list of prime numbers, primality is defined as a number having exactly two distinct divisors, one and itself, itself being a number other than one.
In mathematics, one is perhaps the number that most often appears as a literal constant in axiomatic equations, but in a way, it appears in all equations as an implicit multiplicand, due to multiplicative identity.
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 Primitive semiperfect number - Wikipedia, the free encyclopedia
In mathematics, a primitive semiperfect number (also called a primitive pseudoperfect number, irreducible semiperfect number or irreducible pseudoperfect number) is a natural number that has no semiperfect proper divisor.
The first few primitive semiperfect numbers are 6, 20, 28, 88, 104, 272, 304, 350,...
It has been shown that there exist infinitely many odd primitive semiperfect numbers, as well as infinitely many primitive semiperfect numbers that are not harmonic divisor numbers.
www.wikipedia.org /wiki/Primitive_pseudoperfect_number   (105 words)

  
 Harmonic divisor number - Encyclopedia Glossary Meaning Explanation Harmonic divisor number   (Site not responding. Last check: 2007-11-07)
Here you will find more informations about Harmonic divisor number.
In 1972, W.H. Mills proved that, besides 1, there are no odd harmonic divisor numbers with prime power factors less than 10
For example, 496 is a harmonic divisor number because 10, its number of divisors, divided by the sum of the reciprocals of its divisors, 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496, (the harmonic mean), yields an integer, 5 in this case.
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 Encyclopedia: 8128 (number)   (Site not responding. Last check: 2007-11-07)
It is most notable for being a perfect number, and one of the earliest numbers to be recognized as such.
Also related to its being a perfect number, 8,128 is a harmonic divisor number.
8,128 is the 127th triangular number, the 64th hexagonal number, the eighth 292_gonal number, and the fourth 1356_gonal number.
www.nationmaster.com /encyclopedia/8128-(number)   (156 words)

  
 What's special about this number? (3)   (Site not responding. Last check: 2007-11-07)
is the number of digraphs with 4 vertices.
is the number of acyclic digraphs with 5 vertices.
is the number of degrees in a circle.
www.archimedes-lab.org /numbers/Num201_500.html   (1461 words)

  
 6 (number) -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-07)
The next highly composite number is (The cardinal number that is the sum of eleven and one) 12.
The number of (Click link for more info and facts about feet) feet below ground level a (Box in which a corpse is buried or cremated) coffin is traditionally buried; thus, the phrase "six feet under" means that a person (or thing, or concept) is dead.
The number of sides on a cube, hence the highest number on a standard (A device used for shaping metal) die.
www.absoluteastronomy.com /encyclopedia/6/6/6_(number).htm   (2235 words)

  
 496 (number) - All About All   (Site not responding. Last check: 2007-11-07)
Also related to its being a perfect number, 496 is a harmonic divisor number, since 496 divided by the sum of the reciprocals of its divisors, 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496, (the harmonic mean), yields an integer, 5 in this case.
A triangular number and a hexagonal number, 496 is also a centered nonagonal number and a centered 11-gonal number.
Being the 31st triangular number, 496 is the smallest counterexample to the hypothesis that one more than an even indexed triangular number is a prime.
www.allaboutall.info /article/496_(number)   (281 words)

  
 Harmonic divisor number - Definition up Erdmond.Com   (Site not responding. Last check: 2007-11-07)
, or Ore number, is a number whose divisors, averaged in a harmonic_mean, results in an integer.
The first few harmonic divisor numbers are 1, 6, 28, 140, 270, 496.
Three of these listed are also perfect_numbers, and like perfect_numbers, harmonic divisor numbers tend to even numbers, at least in the range observed.
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 Harmonic divisor number -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-07)
Harmonic divisor number -- Facts, Info, and Encyclopedia article
A harmonic divisor number, or Ore number, is a number whose divisors, averaged in a (The mean of n numbers expressed as the reciprocal of the arithmetic mean of the reciprocals of the numbers) harmonic mean, results in an integer.
Three of these listed are also (Click link for more info and facts about perfect number) perfect numbers, and like perfect numbers, harmonic divisor numbers tend to be even numbers, at least in the range observed.
www.absoluteastronomy.com /encyclopedia/H/Ha/Harmonic_divisor_number.htm   (166 words)

  
 Read about 1000000 (number) at WorldVillage Encyclopedia. Research 1000000 (number) and learn about 1000000 (number) ...   (Site not responding. Last check: 2007-11-07)
The million is sometimes used in the English language as a metaphor for a very large number, as in "Never in a million years" and "You're one in a million".
Rowlett numbering system), unlike the larger numbers, which have different names in the two systems.
gonal number, an 8740-gonal number and a 174764-gonal number; the number of
encyclopedia.worldvillage.com /s/b/Million   (180 words)

  
 Number   (Site not responding. Last check: 2007-11-07)
The word ``number'' is a general term which refers to a member of a given (possibly ordered)
Constant'' is reserved for nonintegral numbers which have a fixed value.
Irrational Number are commonly used to refer to nonintegral quantities, however, it is not possible to be entirely consistent in nomenclature.
mathserver.sdu.edu.cn /mathency/math/n/n207.htm   (179 words)

  
 100000 (number) - Wikipedia, the free encyclopedia
One hundred thousand (100000) is the natural number following 99999 and preceding 100001.
In astronomy, 100,000 metres, 100 kilometres, or 100 km (62 miles) is the altitude at which the Federation Aeronautique Internationale (FAI) defines spaceflight to begin.
This page was last modified 00:24, 20 October 2005.
en.wikipedia.org /wiki/100000_(number)   (177 words)

  
 Harmonic Divisor Number Encyclopedia Article, Definition, History, Biography   (Site not responding. Last check: 2007-11-07)
Looking For harmonic divisor number - Find harmonic divisor number and more at Lycos Search.
Find harmonic divisor number - Your relevant result is a click away!
Look for harmonic divisor number - Find harmonic divisor number at one of the best sites the Internet has to offer!
www.karr.net /encyclopedia/Harmonic_divisor_number   (358 words)

  
 triv.org -- September 20, 2002 Archives   (Site not responding. Last check: 2007-11-07)
Turn the number backwards, and add 1976 - the year George Harrison performed the lumberjack song with Monty Python - if you have seen it, you should understand.
Turn the number backwards, and add 1927 - the year Fidel Castro was born.
Subtract 041 from the number - this is the smallest harmonic divisor number, written backwards.
www.triv.org /journal/archives/2002/09/20   (161 words)

  
 On the Number 28
The 3rd harmonic divisor number: 1, 6, 28, 140, 270, 496, 672
The 3rd primitive semiperfect number: 6, 20, 28, 88, 104, 272, 304, 350
It is numerosity, not number, that is discriminative in nature.
www.wisdomportal.com /Numbers/28-1.html   (9763 words)

  
 Harmonic Divisor Number   (Site not responding. Last check: 2007-11-07)
Mills, W. ``On a Conjecture of Ore.'' Proceedings of the 1972 Number Theory Conference.
``On the Averages of the Divisors of a Number.'' Amer.
Pomerance, C. ``On a Problem of Ore: Harmonic Numbers.'' Unpublished manuscript, 1973.
www.math.sdu.edu.cn /mathency/math/h/h085.htm   (146 words)

  
 harmonic divisor number - OneLook Dictionary Search   (Site not responding. Last check: 2007-11-07)
We found 2 dictionaries with English definitions that include the word harmonic divisor number:
Tip: Click on the first link on a line below to go directly to a page where "harmonic divisor number" is defined.
Harmonic Divisor Number : Eric Weisstein's World of Mathematics [home, info]
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 collegebasketball.ca - Harmonic divisor number   (Site not responding. Last check: 2007-11-07)
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 1000000 (number) | TutorGig.co.uk Encyclopedia   (Site not responding. Last check: 2007-11-07)
1048576 = 2^20 (power of two); 2116- gonal number, an 8740-gonal number and a 174764-gonal number; the number of bytes in a mebibyte, the number of kibibytes in a gibibyte, and so on.
Software See all 47 results in 1000000 (number)..
Classical Music See all 17 results in 1000000 (number)..
www.tutorgig.co.uk /ed/million   (332 words)

  
 Harmonic Number   (Site not responding. Last check: 2007-11-07)
The number formed by taking alternate signs in the sum also has an analytic solution
The first of these had been previously derived by de Doelder (1991), and the last by Euler (1775).
A separate type of number sometimes also called a ``harmonic number'' is a
www.math.sdu.edu.cn /mathency/math/h/h094.htm   (134 words)

  
 1 (number) at opensource encyclopedia   (Site not responding. Last check: 2007-11-07)
One is most often used for representing 'true' as a Boolean datatype in computer science (though any other number than zero would also represent true).
The number of stars that provide daylight to Earth.
RingCentral: toll-free numbers, local numbers, fax, voice mail for growing business »
wiki.tatet.com /1_(number).html   (1152 words)

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