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24 is a congruent number, as 24 is the area of a right triangle with a rational number of sides. 24 is a semi-meandric number, where an order-6 semi-meander intersects an oriented ray in R2 at 24 points. 24 is the number of digits of the fifth and largest known unitary perfect number, when written in decimal: 146361946186458562560000.
51 is: The atomic number of antimony. The code for international direct dial phone calls to Peru. The last possible television channel number in the UHF bandplan for American terrestrial television from December 31, 2011, when channels 52–69 were withdrawn, to July 3, 2020, when channels 38–51 were removed from the bandplan.
34 is the ninth distinct semiprime, [1] with four divisors including 1 and itself. Specifically, 34 is the ninth distinct semiprime, it being the sixth of the form . Its neighbors 33 and 35 are also distinct semiprimes with four divisors each, where 34 is the smallest number to be surrounded by numbers with the same number of divisors it has.
Twelve is a superior highly composite number, divisible by the numbers 2, 3, 4, and 6 . It is the number of years required for an orbital period of Jupiter. It is central to many systems of timekeeping, including the Western calendar and units of time of day, and frequently appears in the world's major religions.
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.
32 is the fifth power of two ( ), making it the first non-unitary fifth-power of the form where is prime. 32 is the totient summatory function over the first 10 integers, [1] and the smallest number with exactly 7 solutions for . The aliquot sum of a power of two is always one less than the number itself, therefore the aliquot sum of 32 is 31. [2]
In mathematics. A hepteract is a seven- dimensional hypercube with 84 penteract 5-faces. 84 is a semiperfect number, [1] being thrice a perfect number, and the sum of the sixth pair of twin primes . [2] It is the number of four-digit perfect powers in decimal. [3]
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]