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In mathematics. 24 is an even composite number, with 2 and 3 as its distinct prime factors. It is the first number of the form 2 qq, where q is an odd prime. It is the smallest number with exactly eight positive divisors: 1, 2, 3, 4, 6, 8, 12 and 24; [1] thus, it is a highly composite number, having more divisors than any smaller number. [2]
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.
40 is the smallest number with exactly nine solutions to the equation Euler's totient function (for values 41, 55, 75, 82, 88, 100, 110, 132, and 150 of ). Adding up some subsets of the divisors of 40 (e.g., 1, 4, 5, 10, and 20) gives 40; hence, 40 is the ninth semiperfect number. [6] 40 is also the ninth refactorable number.
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.
Forty-eight is the double factorial of 6, a highly composite number. Like all other multiples of 6, it is a semiperfect number. 48 is the second 17-gonal number. 48 is the smallest number with exactly ten divisors, and the first multiple of 12 not to be a sum of twin primes.
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 ...
64 is: the smallest number with exactly seven divisors, [3] the first whole number (greater than one) that is both a perfect square, and a perfect cube, [4] the lowest positive power of two that is not adjacent to either a Mersenne prime or a Fermat prime,
Decimal properties. The fifth repdigit is the product between the thirteenth and fifty-eighth primes, 58 is also the smallest integer in decimal whose square root has a continued fraction with period 7. [14] It is the fourth Smith number whose sum of its digits is equal to the sum of the digits in its prime factorization (13).
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. 60 is a highly composite number. [1] Because it is the sum of its unitary divisors (excluding itself), it is a unitary perfect number, [2] and it is an abundant number with an abundance of 48. Being ten times a perfect number, it is a semiperfect number. 60 is a Twin-prime sum of the fifth pair of twin-primes, 29 + 31.