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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.
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.
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.
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.
It is the third (or second) dodecahedral number, and the sum of the first seven triangular numbers (1, 3, 6, 10, 15, 21, 28), which makes it the seventh tetrahedral number. [5] The twenty-second unique prime in decimal , with notably different digits than its preceding (and known following) terms in the same sequence , contains a total of 84 ...
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.
72 has a Euler totient of 24, which makes it a highly totient number, as there are 17 solutions to the equation φ(x) = 72, more than any integer under 72. It is equal to the sum of its preceding smaller highly totient numbers 24 and 48 , and contains the first six highly totient numbers 1 , 2 , 4 , 8 , 12 and 24 as a subset of its proper ...
39 is the smallest natural number which has three partitions into three parts which all give the same product when multiplied: {25, 8, 6}, {24, 10, 5}, {20, 15, 4}. 39 is a Perrin number, coming after 17, 22, 29 (it is the sum of the first two mentioned).
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,