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  2. 24 (number) - Wikipedia

    en.wikipedia.org/wiki/24_(number)

    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.

  3. 41 (number) - Wikipedia

    en.wikipedia.org/wiki/41_(number)

    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.

  4. 34 (number) - Wikipedia

    en.wikipedia.org/wiki/34_(number)

    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 ...

  5. 72 (number) - Wikipedia

    en.wikipedia.org/wiki/72_(number)

    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.

  6. 32 (number) - Wikipedia

    en.wikipedia.org/wiki/32_(number)

    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]

  7. 65 (number) - Wikipedia

    en.wikipedia.org/wiki/65_(number)

    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]

  8. 44 (number) - Wikipedia

    en.wikipedia.org/wiki/44_(number)

    In mathematics. Forty-four is a repdigit and palindromic number in decimal. It is the tenth 10- happy number, [1] and the fourth octahedral number. [2] It is a square-prime of the form p2 × q, and fourth of this form and of the form 2 2 × q, where q is a higher prime. It is the first member of the first cluster of two square-primes; of the ...

  9. 58 (number) - Wikipedia

    en.wikipedia.org/wiki/58_(number)

    Number-theoretical [ edit] 58 is equal to the sum of the first seven consecutive prime numbers: [2] This is a difference of 1 from the seventeenth prime number and seventh super-prime, 59. [3] [4] 58 has an aliquot sum of 32 [5] within an aliquot sequence of two composite numbers (58, 32, 13, 1, 0) in the 13 -aliquot tree. [6]