9324
9324 is a even composite number that follows 9323 and precedes 9325. It is composed of 36 distinct factors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 37, 42, 63, 74, 84, 111, 126, 148, 222, 252, 259, 333, 444, 518, 666, 777, 1036, 1332, 1554, 2331, 3108, 4662, 9324. Its prime factorization can be written as 2^2 × 3^2 × 7 × 37. 9324 is classified as a abundant number based on the sum of its proper divisors. In computer science, 9324 is represented as 10010001101100 in binary and 246C in hexadecimal.
Factor Analysis
36 FactorsProperties
The prime factorization (2^2 × 3^2 × 7 × 37) reveals 6 prime building blocks.
Divisible by 2
9324 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
9324 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 18 is a multiple of 9.
Divisible by 10
9324 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 9324 within several notable number theory sequences:
Timeline
Deep dive
How 9324 breaks down
9324 carries 36 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 18340, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010001101100 supports bitwise reasoning, hexadecimal 246C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9324 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 9324 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (9319–9329) to tune search ranges, and educators feature 9324 in worksheets about factor trees. Its binary footprint of length 14 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 9324 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 9324
Is 9324 a prime number?
9324 is composite with 36 total factors and the prime factorization 2^2 × 3^2 × 7 × 37.
What is the prime factorization of 9324?
It breaks down as 2^2 × 3^2 × 7 × 37, multiplying the primes 2 × 2 × 3 × 3 × 7 × 37.
How is 9324 represented in binary and hexadecimal?
9324 converts to 10010001101100 in binary and 246C in hexadecimal, which are helpful for computer science applications.
Is 9324 a perfect square, cube, or triangular number?
9324 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 9324?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.