Number of divisors
In mathematics, and specifically in number theory, a divisor function is an arithmetic function related to the divisors of an integer. When referred to as the divisor function, it counts the number of divisors of an integer. It appears in a number of remarkable identities, including relationships on the Riemann zeta function and the Eisenstein series of modular forms. Divisor functions were studied by Ramanujan, who gave a number of important congruences and identities.
A related function is the divisor summatory function, which, as the name implies, is a sum over the divisor function.

This is an excerpt from the article Number of divisors from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
The article Number of divisors at en.wikipedia.org was accessed 24 times in the last 30 days. (as of: 07/14/2013)
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performance - Algorithm to calculate the…
What would be the most optimal algorithm (performance-wise) to calculate the Number of divisors of a given number? It'll be great if you could provide pseudocode or a ...
stackoverflow.com/questions/110344/algorithm-to-calculate-the-number-of-divisors-of-a-given-number
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Divisor function - Wikipedia, the free encyclopedia
When referred to as the divisor function, it counts the Number of divisors of an integer. It appears in a number of remarkable identities, including relationships on ...
en.wikipedia.org/wiki/Divisor_function
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The Prime Glossary: number of divisors
... to the Prime Glossary: a collection of definitions, information and facts all related to prime numbers. This pages contains the entry titled 'Number of divisors.
primes.utm.edu/glossary/xpage/tau.html
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How to Determine the Number of Divisors of an Integer - wikiHow
How to Determine the Number of divisors of an Integer. 1, 2, 3, 4, 6, 8, 12, 24 are all divisors (or factors) of 24. You can divide 24 by any of them and you will ...
www.wikihow.com/Determine-the-Number-of-Divisors-of-an-Integer
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Number of Divisors - mathschallenge.net
Suppose you wish to find the Number of divisors of 48. Starting with 1 we can work through the set of natural numbers and test divisibility in each case, noting ...
mathschallenge.net/library/number/number_of_divisors
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Divisor -- from Wolfram MathWorld
The total Number of divisors for a given number n (variously written d(n) ... The product of divisors can be found by writing the number n in terms of all possible ...
mathworld.wolfram.com/Divisor.html
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How many divisors does the number 138600 have? - Math Central
There is a nice way to determine the Number of divisors of a positive integer and I am going to illustrate it with a smaller number, 360. The first step is to write the ...
mathcentral.uregina.ca/QQ/database/QQ.02.06/joe1.html
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ON THE NUMBER OF DIVISORS OF n! Paul Erd˝os, S. W. Graham ...
Let as usual d(m) denote the number of positive divisors of m. We are interested here in problems involving d(n!). There seem to exist only a few results in the.
www.math.dartmouth.edu/~carlp/factorial.pdf
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How to find the number of divisors? - Yahoo! Answers
A fairly straightforward method is as follows: First, determine the prime factorisation of the given integer, say n: n = (p1^r1)*(p2^r2)*...*(ps^rs),
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Number of divisors function - OeisWiki
Aug 9, 2012 ... which gives the Number of divisors of \scriptstyle n \, . For \scriptstyle n \,>\, 0 \, , the Number of divisors is the number of restricted partitions with ...
oeis.org/wiki/Number_of_divisors_function
Search results for "Number of divisors"
Number of divisors in science
The Prime Glossary: number of divisors
Welcome to the Prime Glossary: a collection of definitions, information and facts all related to prime numbers. This pages contains the entry titled 'number of ...
Divisors :: Number theory :: Cambridge University Press
Looking for an examination copy? This title is not currently available for examination. However, if you are interested in the title for your course we can consider ...
15 - A Note on the Number of Divisors of Quadratic Polynomials ...
Cambridge University Press. Utility. University Publishing Online ... and their Applications in Number Theory; A Note on the Number of divisors of Quadratic ...
9 - The Number of Divisors of an Integer - University Publishing Online
Underwood Dudley received the Ph.D. degree (number theory) from the University of Michigan in 1965. He taught at the Ohio State University and at DePauw ...
[PDF]Surprising Connections between Partitions and ... - Rowan University
Courant Institute at New York University in 1970 and is the author of close to a ... Thus, p(5) = 7. Prime numbers and divisors seem to be of little relevance here.
Number of Divisors - Math Help Boards
This is a discussion on Number of divisors within the Discrete Mathematics, Set Theory, and Logic forums, part of the University Math category; ...
Consecutive integers with equally many principal divisors | NOVA ...
Title: Consecutive integers with equally many principal divisors; Author/Creator: Eggleton, Roger B.; MacDougall, James A. Institution: The University of ...
[PDF]The University of Sydney MATH2068/2988 Number Theory and ...
The University of Sydney. MATH2068/2988 ... Deduce that there are an infinite number of prime numbers. Solution. ... divisors if and only if the number is prime.
The number of large prime divisors of consecutive integers
The number of large prime divisors of consecutive integers ☆. Janos Galambos. Department of Mathematics, Temple University, Philadelphia, Pennsylvania ...
Books on the term Number of divisors
104 Number Theory Problems: From the Training of the USA IMO Team
Titu Andreescu, Dorin Andrica, Zuming Feng, 2007
Number. of. Divisors. We start with three examples. Example 1.16. [AIME 1988] Compute the probability that a randomly chosen positive divisor of 1099 is an integer multiple of 1088. Solution: What are the divisors of 1099?Is3adivisor?
A Philosophical and Mathematical Dictionary Containing... Memoirs ...
Charles Hutton, 1815
Divisor, is the dividing number; or that, which shows how many parts the dividend is to be divided into. Divisors of a Number, are those numbers by which it is exactly divisible; thus, 1, 2, 3, 4, 6 and 12, are divisors of the number 12, because 12 ...
A Philosophical and Mathematical Dictionary: Containing an ...
Charles Hutton, 1815
Divisor, is the dividing number; or that which shows how many parts the dividend is to be divided into. Divisors of a Number, are those numbers by which it is exactly divisible; thus, 1, 2, 3, 4, 6 and 12, arc divisors of the number 12, because 12 ...
The Pearson Guide to Quantitative Aptitude for CAT 2/e
Nishit K. Sinha, 2010
So, number of odd divisors = (0 + 1) (1 + 1) (1 + 1) (1 + 1) = 8 So, total number of even divisors = total Number of divisors - number of odd divisors = 24 - 8 = 16 Alternatively, we can also find out the number of even divisors of /V = 420 directly  ...
Learning and Teaching Number Theory: Research in Cognition and ...
Stephen R. Campbell, Rina Zazkis, 2002
AT: [Writes the Jive different divisors for 625 in the 5-divisor column.] Are there any other patterns in the table? 8. Clarice: All the numbers with two divisors fit the pattern of one and the number itself. 9. Tina: For three divisors, the pattern is one,  ...

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Number of divisors
Number of Divisors - K To 12 Online School
]]>Introduction to Whole Number Divisors: A division method can be done by using the division symbol ÷. The division can be otherwise said to be inverse of multiplication.
kto12onlineschool.blogspot.com/2013/07/number-of-divisors.html
Math Math: Number 3
Number 3 Let's get right to it, the number 3 is a prime number! We introduced this concept when we studied the number 2, but here's an instant recap. .
www.math-math.com/2013/07/number-3.html
Calculating the Number of Divisors » Robot Goblin
Feb 16 Calculating the Number of divisors Categories: Featured, Maths, Programming by Joe ]]>Introduction Calculating the Number of divisors for a number is a fairly simple task in programming, it can be achieved with the following simple code: const int number = 50; // The number for which to count the divisors of int count = 1; for ( int i = 1; i.
www.robotgoblin.co.uk/blog/2013/02/16/calculating-the-number-of-divisors/
Number of divisors | Paulrs' Blog
Posted on April 27, 2013 by paulrs.
paulrs.wordpress.com/2013/04/27/number-of-divisors/
MTArchive: Cubes of Perfection
Playing with integers can lead to all sorts of little surprises. A whole number that is equal to the sum of all its possible divisors—including 1 but not the number itself—is known as a perfect number.
mtarchive.blogspot.com/2013/07/cubes-of-perfection.html
ProjectEuler: Highly divisible triangular number | A Programmer's Nonsenses
Observation of the world from a programmer's point of view
xiongzou.wordpress.com/2013/07/22/projecteuler-highly-divisible-triangular-number/
Amicable Numbers | 42 Studios
Project Euler – Problem 21 Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n). If d(a) = b and d(b) = a, where a ≠ b, then a and b are an amicable pair and each of a and b are called amicable numbers.
42studios.com/2013/07/amicable-numbers/
Finding the number of divisors..
For how many odd positive integers n
www.mymathforum.com/viewtopic.php?t=39968&p=163951
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