24
24 is a even composite number that follows 23 and precedes 25. It is composed of 8 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24. Its prime factorization can be written as 2^3 × 3. 24 is classified as a abundant number based on the sum of its proper divisors. In computer science, 24 is represented as 11000 in binary and 18 in hexadecimal. Historically, it is written as XXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 3) reveals 4 prime building blocks.
Divisible by 2
24 ends in 4, so it is even.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
24 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 6 is not a multiple of 9.
Divisible by 10
24 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 24 within several notable number theory sequences:
Timeline
Deep dive
How 24 breaks down
24 carries 8 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 36, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11000 supports bitwise reasoning, hexadecimal 18 aligns with computing notation, and the Roman numeral XXIV keeps the encyclopedic tradition alive. These attributes make 24 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 24 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (19–29) to tune search ranges, and educators feature 24 in worksheets about factor trees. Its binary footprint of length 5 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 24 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 24
Is 24 a prime number?
24 is composite with 8 total factors and the prime factorization 2^3 × 3.
What is the prime factorization of 24?
It breaks down as 2^3 × 3, multiplying the primes 2 × 2 × 2 × 3.
How is 24 represented in binary and hexadecimal?
24 converts to 11000 in binary and 18 in hexadecimal, which are helpful for computer science applications.
Is 24 a perfect square, cube, or triangular number?
24 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 24?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.