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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.
In mathematics. 34 is the twelfth 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 ...
Twenty is a pronic number, as it is the product of consecutive integers, namely 4 and 5. [3] It is the third composite number to be the product of a squared prime and a prime (and also the second member of the 22 × q family in this form). It has an aliquot sum of 22; a semiprime, within an aliquot sequence of four composite numbers (20, 22, 14 ...
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.
the sum of two squares (4 2 + 5 2 ), which makes it a centered square number. [4] the sum of the first three Mersenne primes, 3, 7, 31. [5] the sum of the sum of the divisors of the first 7 positive integers. the smallest integer whose reciprocal has a 5-digit repetend. That is a consequence of the fact that 41 is a factor of 99999.
Forty-nine is the square of the prime number seven and hence the fourth non-unitary square prime of the form p2. 49 has an aliquot sum of 8; itself a prime power, and hence an aliquot sequence of two composite members (49, 8, 7, 1 ,0). It appears in the Padovan sequence, preceded by the terms 21, 28, 37 (it is the sum of the first two of these ...
48 is the smallest number with exactly ten divisors, [6] and the first multiple of 12 not to be a sum of twin primes . There are 11 solutions to the equation φ ( x) = 48, namely 65, 104, 105, 112, 130, 140, 144, 156, 168, 180 and 210. This is more than any integer below 48, making 48 a highly totient number. [7]
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]