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35 is the sum of the first five triangular numbers, making it a tetrahedral number. [1] 35 is the 10th discrete semiprime ( ) [2] and the first with 5 as the lowest non-unitary factor, thus being the first of the form (5.q) where q is a higher prime. 35 has two prime factors, ( 5 and 7) which also form its main factor pair (5 x 7) and comprise ...
In mathematics. 37 is the 12th prime number, and the 3rd isolated prime without a twin prime. [1] 37 is the third star number [2] and the fourth centered hexagonal number. [3] The sum of the squares of the first 37 primes is divisible by 37. [4] 37 is the median value for the second prime factor of an integer. [5]
56 is: The sum of the first six triangular numbers (making it a tetrahedral number ). [1] The number of ways to choose 3 out of 8 objects or 5 out of 8 objects, if order does not matter. a tetranacci number [2] and as a multiple of 7 and 8, a pronic number. [3] Interestingly it is one of a few pronic numbers whose digits in decimal also are ...
The number of domino tilings of a 4×4 checkerboard is 36. Since it is possible to find sequences of 36 consecutive integers such that each inner member shares a factor with either the first or the last member, 36 is an Erdős–Woods number. The sum of the integers from 1 to 36 is 666 (see number of the beast). 36 is also a Tridecagonal number.
38 is the sum of the squares of the first three primes. 37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits. 38 is the largest even number which cannot be written as the sum of two odd composite numbers. The sum of each row of the only non-trivial (order 3) magic hexagon is 38.
The number of the French department Bas-Rhin. The number of counties in Alabama, Florida, and Pennsylvania. The province/traffic code of Zonguldak Province in Turkey. In the U.S., *67 is a common prefix-code for blocking caller ID info on the subsequent call. In sports. Buddy Arrington's best-known NASCAR car number. The Ottawa 67's, founded in ...
65 is the nineteenth distinct semiprime, [1] (5.13); and the third of the form (5.q), where q is a higher prime. 65 has a prime aliquot sum of 19 within an aliquot sequence of one composite numbers (65, 19, 1 ,0) to the prime; as the first member' of the 19 -aliquot tree. It is an octagonal number. [2] It is also a Cullen number. [3]
Inside Lie algebras : 72 is the number of vertices of the six-dimensional 122 polytope, which also contains as facets 720 edges, 702 polychoral 4-faces, of which 270 are four-dimensional 16-cells, and two sets of 27 demipenteract 5 -faces. These 72 vertices are the root vectors of the simple Lie group.