Search results
Results from the WOW.Com Content Network
Many properties of a natural number n can be seen or directly computed from the prime factorization of n. The multiplicity of a prime factor p of n is the largest exponent m for which p m divides n. The tables show the multiplicity for each prime factor. If no exponent is written then the multiplicity is 1 (since p = p 1).
62 as the sum of three distinct positive squares. 62 is: . the eighteenth discrete semiprime and tenth of the form (2.q), where q is a higher prime.; with an aliquot sum of 34; itself a semiprime, within an aliquot sequence of seven composite numbers (62,34,20,22,14,10,8,7,1,0) to the Prime in the 7-aliquot tree.
65 is the length of the hypotenuse of 4 different Pythagorean triangles, the lowest number to have more than 2: 65 2 = 16 2 + 63 2 = 33 2 + 56 2 = 39 2 + 52 2 = 25 2 + 60 2. [10] The first two are "primitive", and 65 is the lowest number to be the largest side of more than one such triple. [11] 65 is the number of compositions of 11 into ...
The factorizations are often not unique in the sense that the unit could be absorbed into any other factor with exponent equal to one. The entry 4+2i = −i(1+i) 2 (2+i), for example, could also be written as 4+2i= (1+i) 2 (1−2i). The entries in the table resolve this ambiguity by the following convention: the factors are primes in the right ...
One way to classify composite numbers is by counting the number of prime factors. A composite number with two prime factors is a semiprime or 2-almost prime (the factors need not be distinct, hence squares of primes are included).
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
Discover the latest breaking news in the U.S. and around the world — politics, weather, entertainment, lifestyle, finance, sports and much more.
It contains a prime aliquot sum of 41, the thirteenth indexed prime; and part of the aliquot sequence (63, 41, 1, 0) within the 41-aliquot tree. 63 is the third Delannoy number, for the number of ways to travel from a southwest corner to a northeast corner in a 3 by 3 grid.