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Topic: Harshad number

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Niven numbers

1 E4

18 (number)

Natural number

Smith number

4 (number)

6 (number)

Cardinal number

Divisor

54 (number)

9 (number)

3 (number)

2 (number)

Ordinal number

Magic number (physics)

	10 (number) - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-19)
		Ten is a composite number, its proper divisors being 1, 2 and 5.
		Ten is a Harshad number and a semi-meandric number.
		The number of carbon atoms in decane, a hydrocarbon.
	www.eastcleveland.us /project/wikipedia/index.php/10_(number) (729 words)

	21 (number) article - 21 (number) twenty natural number 20 22 List numbers Integers << 20 - What-Means.com (Site not responding. Last check: 2007-10-19)
		Twenty-one is a Fibonacci number, a Harshad number, a Motzkin number, a triangular number and an octagonal number, as well as a composite number, its proper divisors being 1, 3 and 7.
		The number of firings in a gun salute to Royalty or leaders of countries.
		Number 21, the plane flown by Gustave Whitehead
	www.what-means.com /encyclopedia/Twenty-one (383 words)

	2 (number) article - 2 (number) 1 4 6 8 >> List numbers Integers 10 20 30 40 50 60 70 - What-Means.com (Site not responding. Last check: 2007-10-19)
		Taking the square root of a number is such a common mathematical operation, that the spot on the root sign where the exponent would normally be written for cubic roots and other such roots, is left blank for square roots, as it is considered tacit.
		Two is also a Motzkin number, a Bell number, an all-Harshad number, a meandric number, a semi-meandric number, and an open meandric number.
		The number 2 is sometimes used as a shorthand for "to".
	www.what-means.com /encyclopedia/Twice (865 words)

	1 (number) - the free encyclopedia (Site not responding. Last check: 2007-10-19)
		It is also the first and second numbers in the Fibonaccisequence, and is the first number in a lot of mathematical sequences.
		One is currently not considered as a prime number, although it used tobe, and it would be under a simple definition for primality: that the number be only divisible by one and itself - one iscertainly itself.
		the house number of Number OneObservatory Circle, the USVice-President's residence.
	www.world-knowledge-encyclopedia.com /?t=One (1534 words)

	Casino Encyclopedia (Site not responding. Last check: 2007-10-19)
		Eighty-one is a square, a heptagonal number and a centered octagonal number.
		It is also a tribonacci number, an open meandric number and a Harshad number.
		The Saros number of the solar eclipse series which began on -322 May 12 and ended on 958 June 19.
	www.casinoencyclopedia.com /index.php?title=81_(number) (289 words)

	190 (number) - Wikipedia, the free encyclopedia
		One hundred ninety is a sphenic number and a Harshad number.
		It is a triangular number, a hexagonal number and a centered nonagonal number.
		195 = 3 5 13, sphenic number, sum of eleven consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37), one of the few odd numbers to be surrounded on both sides by twin primes, Harshad number
	en.wikipedia.org /wiki/190_(number) (319 words)

	1 (NUMBER) FACTS AND INFORMATION (Site not responding. Last check: 2007-10-19)
		1 (''one'') is a number, numeral, and glyph.
		It is also the first and second numbers in the Fibonacci sequence, and is the first number in a lot of mathematical sequences.
		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.
	velocipay.com /1_(number) (1647 words)

	The Sound of Mathematics - Numbers
		A Niven number (or Harshad number, but I give priority to alliterations) is a positive integer which is divisible by the sum of its digits.
		This value is the number of tied sixteenth notes and the number of scale steps relative to the previous tone.
		When it's done, it hooks up at the prime number where the 1st part is at the monent (I forgot the exact number) and uses the same algorithm as the 2nd part had at the beginning of the piece.
	www.geocities.com /Vienna/9349/numbers.html (677 words)

	20 (NUMBER) FACTS AND INFORMATION
		Twenty is the first number in an early Indian magic_square of order 3.
		The number of proteinogenic amino_acids that are encoded by the standard genetic code.
		The number 20 is used as an index in measuring visual_acuity.
	www.witwib.com /20_(number) (526 words)

	Curious Properties of 153 By Shyam Sunder Gupta (Site not responding. Last check: 2007-10-19)
		It is equal to the sum of factorials of number from 1 to 5:
		Aliquot divisors of a number are all the divisors of that number excluding the number itself but including 1.
		The sum of all divisors of 153 is 234.
	www.shyamsundergupta.com /c153.htm (691 words)

	Fascinating Triangular Numbers By Shyam Sunder Gupta
		Harshad (or Niven) numbers are those numbers which are divisible by their sum of the digits.
		Numbers such that d(n), the number of divisors of n, is greater than for any smaller n are called highly composite numbers.
		Numbers such that s(n), the sum of aliquot divisors of n, is greater than n are called Abundant numbers.
	www.shyamsundergupta.com /triangle.htm (1716 words)

	10 (NUMBER) FACTS AND INFORMATION
		Ten is the base of the decimal numeral_system, by far the most common system of denoting numbers in both spoken and written language.
		The Roman_numeral for ten is X (which looks like two V's Roman numeral for 5 put together); it is thought that the V for five is derived from an open hand (five digits displayed).
		:The Saros number of the solar_eclipse series which began on -2467 February_28 and ended on -1169 April_18.
	www.witwik.com /10_(number) (664 words)

	4 (number) biography .ms (Site not responding. Last check: 2007-10-19)
		Four is the smallest composite number, its proper divisors being 1 and 2.
		As a consequence of this, it is the smallest Smith number.
		Four is an all-Harshad number and a semi-meandric number.
	four.biography.ms (1106 words)

	Untouchable numbers (Site not responding. Last check: 2007-10-19)
		The number 100 (number), now known commonly as one hundred was then known as the small hundred.
		It is the eighth hexagonal number and the fifteenth triangular number, as well as the sum of the first eight triangular numbers, making it also a tetrahedral number.
		Fermat wanted to find another positive integer that multiplied with any of the other numbers in the sequence yields a number that is one less than a square.
	read-and-go.hopto.org /Untouchable-numbers (407 words)

	1 (number) - Freepedia (Site not responding. Last check: 2007-10-19)
		One is the first figurate number of every kind, such as triangular number, pentagonal number and centered hexagonal number to name just a few.
		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.
		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.
	en.freepedia.org /One.html (1146 words)

	wikien.info: Main_Page (Site not responding. Last check: 2007-10-19)
		Two hundred and one 201 = 3·67, Harshad number, also HTTP status code indicating success of a POST command, with the textual part of the response line indicating the URI by which the newly created document should be known.
		Two hundred ten 210 = 2·3·5·7, primorial, triangular number, sum of eight consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41), pronic number, pentagonal number, Harshad number, untouchable number.
		·5, harmonic divisor number, Harshad number, also the minimum number of votes to be chosen President of the United States by the U.S. Electoral College.
	www.alanaditescili.net /index.php?title=200_(number) (1641 words)

	600 (number) (Site not responding. Last check: 2007-10-19)
		It is a pronic number and a Harshad number.
		The number 613 hangs from the rafters at Madison Square Garden in honor of legendary New York Knicks coach Red Holzman's 613 victories.
		This number is the magic constant of n×n magic square and n-Queens Problem for n = 11.
	www.toshare.info /en/Six_hundred.htm (1117 words)

	90 (number) Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-19)
		And because 90 is divisible by the sum of its digits in base 10, it is a Harshad number.
		The Saros number of the solar eclipse series which began on 134 BC September 28 and ended on 1345 March 4.
		The Saros number of the lunar eclipse series which began on 150 June 27 and ended on 1430 August 4.
	www.variedtastes.com /encyclopedia/90_(number) (459 words)

	MATHEWS: Kaprekar Process (Site not responding. Last check: 2007-10-19)
		Start with a four-digit number whose digits are not all equal, arrange the digits in ascending and descending order, subtract and repeat the process.
		Note that 6174 also is a Niven or Harshad number, because its divisible by the sum of the digits.
		For three-digit numbers (in base 10) whose digits are not all equal the process terminates on the number 495 in at most six steps.
	www.wschnei.de /digit-related-numbers/kaprekar-process.html (491 words)

	sciforums.com - Interesting numbers (Site not responding. Last check: 2007-10-19)
		You may not post information on any number which has already been covered, or any number which is further on in the sequence, compared to the current location in the thread.
		3 is the number of stumps in a cricket wicket.
		The number of colours needed for a closed surface of positive genus is floor[{7+sqrt(49-24*chi)}/2], where chi is the Euler characteristic.
	www.sciforums.com /printthread.php?t=42843&pp=40 (3789 words)

	Check Six
		Twenty is a composite number, its proper divisors being 1, 2, 4, 5 and 10.
		Twenty is the smallest abundant number that is not a multiple of 3.
		In science, twenty is the atomic number of calcium, the third Magic number (physics), and the number of proteinogenic amino acids that are encoded by the standard genetic code.
	www.livejournal.com /users/jayarr (672 words)

	sciforums.com - Interesting numbers (Site not responding. Last check: 2007-10-19)
		Take a look at some number theory articles published in the last 50 years if you want some evidence on what the convention for prime is these days.
		A Harshad number in a given base is one that can be divided by the sum of its digits.
		I stopped in the middle of the sentence because I wanted to say 7 was the number of colors needed for a taurus, but we were at the number 12, so I just said "x" was the number of colors needed.
	www.sciforums.com /showthread.php?p=725416 (2309 words)

	10 (number) - Pictures (Site not responding. Last check: 2007-10-19)
		For this reason, any number can be instantly multiplied by ten by adding a zero to the end (855 * 10 = 8,550).
		The basis for the choice of ten is presumably that ten is the number of fingers (digits) of the human body.
		A polygon with ten sides is a decagon, and obviously, 10 is a decagonal number.
	www.greatestinfo.org /Ten (536 words)

	2 (number) - Unipedia (Site not responding. Last check: 2007-10-19)
		Two is a factor of ten, so vulgar fractions with 2 in the denominator do not yield infinite decimal expansions, as is the case with most primes.
		The Saros number (http://sunearth.gsfc.nasa.gov/eclipse/SEsaros/SEsaros1-175.html) of the solar eclipse series which began on -2861 May 4 and ended on -1563 June 21.
		The Saros number (http://sunearth.gsfc.nasa.gov/eclipse/LEsaros/LEsaros1-175.html) of the lunar eclipse series which began on -2541 February 21 and ended on -1225 April 22.
	www.unipedia.info /Two.html (1163 words)

	Puzzle 129. Earliest sets of K consecutive Harshad Numbers
		A "Harshad number" (*) is such that it is divisible by the sum of its digits.
		Let the first number of the cluster be N, with digit sum S. Then the second number is N+1, with digit sum S+1, the third N+2, with digit sum S+2....
		Let the ‘last” number in the pattern be N with SOD(N)=S, and the last digit of N is zero.
	www.primepuzzles.net /puzzles/puzz_129.htm (1531 words)

	The Unofficial Calculatrivia Discussion Place
		The string of numbers that relates the letters within each clue solution to their respective places in the Grid is referred to as a “grid relation string” or “GRS”.
		"prime number closest to" – a prime number is “closest to” another number if it is the prime number that is the fewest integers away from the other number, regardless if the prime is higher or lower than the number in question.
		Thus, within groups of words with the same number of letters, words will be ordered alphabetically by their final letters, and for words with the same final letter, those words will be listed in alphabetical order of their penultimate final letters, and so on.
	jumbledpileofperson.typepad.com /games (2099 words)

	Articles - 108 (number) (Site not responding. Last check: 2007-10-19)
		One hundred eight is an abundant number, a tetranacci number, a Harshad number and a self number.
		108 is a number that is divisible by the value of its Ï function, which is 36.
		In Homer's Odyssey, the number of suitors coveting Penelope, wife of Odysseus.
	gaple.com /articles/108_(number)?mySession=98036545965938ca4ff68cea8... (427 words)

	MATHEWS: Niven Numbers (Site not responding. Last check: 2007-10-19)
		Niven numbers (also called Harshad numbers) are positive integers which are divisible by the sum of the digits.
		Niven numbers are named by Robert E. Kennedy in honor of I. Niven who mentioned them 1977 in a conference on Number Theory.
		In 1994, H.G. Grundman generalized the concept of Niven numbers by defining an n-Niven number to be a positive integer that is divisible by sum of the base n digits and proved that for each base n ≥ 2 there does not exist a sequence of more than 2n consecutive n-Niven numbers.
	www.wschnei.de /digit-related-numbers/niven-numbers.html (318 words)

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