Formula to find number of divisors

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The sum of divisors function is given by As usual, the notation "" as the range for a sum or product means that d ranges over the positive divisors of n. The number of divisors function is given by For example, the positive divisors of 15 are 1, 3, 5, and 15. So I want to find formulas for and in terms of re: formula for divisors If I understand the proposed code/formula, these look like basic "trial division" algorithms for factorization, which would work very well for small numbers like Tony Valko lists in his example.
 

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May 06, 2013 · You have the formula for the number of divisors, which I hope you understand. If the number is odd, all divisors will be odd. If the number is even, let's say that N1 is the power of 2 in its prime factorization. FORMULA for DIVISORS. Can any one tell me the formula to find all the divisors of a number in an excel sheet. 12-25-2015, 04:47 AM. Richard Buttrey. Re: FORMULA for ...
 

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"Rasoul Khoshravan" wrote in message ... Is there any command or macro to give the divisors of a number in Excel? Hi Rasoul. A step in the right direction is this formula, which gives TRUE if A1 is a prime: C Program to Display Factors of a Number In this example, you will learn to find all the factors of an integer entered by the user. To understand this example, you should have the knowledge of the following C programming topics: Number of divisors / sum of divisors. In this article we discuss how to compute the number of divisors $d(n)$ and the sum of divisors $\sigma(n)$ of a given number $n$. C Program to Display Factors of a Number In this example, you will learn to find all the factors of an integer entered by the user. To understand this example, you should have the knowledge of the following C programming topics: The divisor count function is a function defined on the nonzero elements of , and is defined as the number of associate classes of divisors of that element. (Note that this does not count the actual number of divisors, but only the number of divisors up to multiplication by units -- this has the same effect as counting only the positive ...

To find the number of divisors, we’ll simply use the formula (4 + 1)(3 + 1)(2 + 1) = 60. Now let’s move on to the complicated stuff. (i) Remember that to form factors, we’re doing nothing but selections from a lot of four 2s, three 3s and two 5s, and multiplying them together. The notations d(n), ν(n) and τ(n) (for the German Teiler = divisors) are also used to denote σ 0 (n), or the number-of-divisors function (OEIS: A000005). When x is 1, the function is called the sigma function or sum-of-divisors function , [1] [3] and the subscript is often omitted, so σ( n ) is the same as σ 1 ( n ) ( OEIS : A000203 ).

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There is actually a (less known) recursive formula for calculating σ(n), the sum of the divisors of n. σ(n) = σ(n − 1) + σ(n − 2) − σ(n − 5) − σ(n − 7) + σ(n − 12) + σ(n − 15) +.. Here 1, 2, 5, 7,... is the sequence of generalized pentagonal numbers 3n2 − n 2 for n = 1, − 1, 2, − 2,... How do I find the factors or divisors of the number 600? Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the factors of larger numbers.