24 (Number)
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24 is a natural number that falls between 23 and 25. It is written with two digits in the decimal (base ten) system.
24 has many divisors compared to numbers of similar size. For this reason it is commonly used in systems of measurement and time division.
Mathematical Properties
24 is a composite number, not a prime number. Its complete list of divisors is 1, 2, 3, 4, 6, 8, 12, and 24—eight divisors in total. Its prime factorization is 2 × 2 × 2 × 3, or 2³ × 3.
The sum of its proper divisors (those less than 24 itself) is 36, which exceeds 24. For this reason 24 is classified as an abundant number. It is also equal to the factorial of 4 (4! = 1 × 2 × 3 × 4 = 24).
Number Systems
In binary, 24 is written as 11000. In hexadecimal, it is 18. In Roman numerals it is written as XXIV.
Common Uses
A day contains 24 hours, derived from earlier time-division systems based on two periods of 12 hours each. Pure gold is also measured in 24 carats, where 24 carats denotes gold with no admixture of other metals.