924
924 is a even composite number that follows 923 and precedes 925. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. Its prime factorization can be written as 2^2 × 3 × 7 × 11. 924 is classified as a abundant number based on the sum of its proper divisors. In computer science, 924 is represented as 1110011100 in binary and 39C in hexadecimal. Historically, it is written as CMXXIV in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 7 × 11) reveals 5 prime building blocks.
Divisible by 2
924 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
924 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 15 is not a multiple of 9.
Divisible by 10
924 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 924 within several notable number theory sequences:
Timeline
Deep dive
How 924 breaks down
924 carries 24 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1764, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011100 supports bitwise reasoning, hexadecimal 39C aligns with computing notation, and the Roman numeral CMXXIV keeps the encyclopedic tradition alive. These attributes make 924 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 924 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (919–929) to tune search ranges, and educators feature 924 in worksheets about factor trees. Its binary footprint of length 10 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 924 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 924
Is 924 a prime number?
924 is composite with 24 total factors and the prime factorization 2^2 × 3 × 7 × 11.
What is the prime factorization of 924?
It breaks down as 2^2 × 3 × 7 × 11, multiplying the primes 2 × 2 × 3 × 7 × 11.
How is 924 represented in binary and hexadecimal?
924 converts to 1110011100 in binary and 39C in hexadecimal, which are helpful for computer science applications.
Is 924 a perfect square, cube, or triangular number?
924 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 924?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.