Positive Divisor Information
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- Perfect number In number theory , a perfect number is a positive integer that is equal to the sum of its proper positive divisor s, that is, the sum of ... 20 KB (2,821 words) - 20:19, 28 June 2011
- Composite number A composite number is a positive integer which has a positive divisor other than one or itself. composite number is any positive integer ... 5 KB (311 words) - 15:43, 14 June 2011
- Divisor In mathematics , a divisor of an integer n, also called a factor of n, is an ... Thus, divisors can be negative as well as positive, ... 9 KB (1,203 words) - 18:51, 2 May 2011
- Sublime number In number theory, a sublime number is a positive integer which has a perfect number of positive divisors (including itself), and whose ... 1 KB (150 words) - 12:13, 27 April 2010
- Coprime (redirect from Probability that two positive integers are relatively prime) or relatively prime if they have no common positive divisor other than 1 or, equivalently, if their greatest common divisor is 1 The ... 10 KB (1,446 words) - 02:29, 25 June 2011
- Highly composite number NOTOC_A highly composite number (HCN) is a positive integer with more divisor s than any positive integer smaller than itself. ... 10 KB (1,252 words) - 02:57, 4 February 2011
- Table of divisors The tables below list all of the divisor s of the numbers 1 to 1000. ... The tables below only list positive divisors. Key to the tables ... 92 KB (14,026 words) - 19:22, 16 April 2011
- Divisor function In mathematics , and specifically in number theory , a divisor function is an ... The sum of positive divisors function σ x(n), for a real or ... 16 KB (2,343 words) - 19:18, 5 June 2011
- Unitary perfect number A unitary perfect number is an integer which is the sum of its positive proper unitary divisor s, not including the number itself ... 2 KB (302 words) - 00:57, 10 November 2010
- Multiplicative function (n) of the positive integer n with the property that f(1) 1 and whenever a and b ... where the sum extends over all positive divisors d of n. ... 8 KB (1,016 words) - 12:17, 20 April 2011
- Fundamental theorem of cyclic groups Moreover, the order of any subgroup of a cyclic group G\, of order n\, is a divisor of n\, and for each positive divisor k\, of n\, the ... 6 KB (853 words) - 09:23, 7 May 2011
- Superabundant number the sum of all positive divisors of n, including n itself). The first few superabundant numbers are 1 , 2 , 4 , 6 , 12 , 24 , 36 , 48 , ... 4 KB (514 words) - 22:42, 17 April 2011
- Fundamental theorem of arithmetic For example, the above factorization of 6936 shows that any positive divisor of 6936 must have the form 2 a × 3 b × 17 c, where a takes one ... 16 KB (1,966 words) - 07:14, 27 June 2011
- Super-Poulet number (section Super-Poulet numbers with 3 or more distinct prime divisors) A super-Poulet number is a Poulet number whose every divisor d divides : ... super-Poulet number: it has positive divisors 1, 11, 31, 341 and we have ... 2 KB (278 words) - 17:54, 21 March 2010
- Hyperperfect number the equality n 1 + k(σ(n) − n − 1) holds, where σ(n) is the divisor function (i.e., the sum of all positive divisor s of n). ... 11 KB (961 words) - 22:53, 28 September 2010
- Multiply perfect number For a given natural number k, a number n is called k-perfect (or k-fold perfect) if and only if the sum of all positive divisor s of n ... 2 KB (256 words) - 10:13, 15 February 2011
- Untouchable number An untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisor s of any positive integer ... 3 KB (429 words) - 00:30, 7 April 2011
- Cyclic group Moreover, the order of any subgroup of G is a divisor of n and for each positive divisor k of n the group G has exactly one subgroup of ... 17 KB (2,476 words) - 23:02, 18 June 2011
- Number A perfect number is a positive integer that is the sum of its proper positive divisor s—the sum of the positive divisors not including ... 43 KB (5,898 words) - 22:13, 2 July 2011
- Harmonic divisor number In mathematics , a harmonic divisor number, or Ore number (named after Øystein Ore who defined it in 1948), is a positive integer whose ... 5 KB (775 words) - 08:29, 2 April 2011
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