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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.
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.
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.
2024 ( MMXXIV) is the current year, and is a leap year starting on Monday of the Gregorian calendar, the 2024th year of the Common Era (CE) and Anno Domini (AD) designations, the 24th year of the 3rd millennium and the 21st century, and the 5th year of the 2020s decade.
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 ...
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.
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,
In mathematics. 25 is a square. It is a square number, being 5 2 = 5 × 5, and hence the third non-unitary square prime of the form p2 . It is one of two two-digit numbers whose square and higher powers of the number also ends in the same last two digits, e.g., 25 2 = 625; the other is 76 .
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]