3324
3324 is a even composite number that follows 3323 and precedes 3325. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324. Its prime factorization can be written as 2^2 × 3 × 277. 3324 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3324 is represented as 110011111100 in binary and CFC in hexadecimal. Historically, it is written as MMMCCCXXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 277) reveals 4 prime building blocks.
Divisible by 2
3324 ends in 4, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
3324 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 12 is not a multiple of 9.
Divisible by 10
3324 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 3324 within several notable number theory sequences:
Timeline
Deep dive
How 3324 breaks down
3324 carries 12 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 4460, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110011111100 supports bitwise reasoning, hexadecimal CFC aligns with computing notation, and the Roman numeral MMMCCCXXIV keeps the encyclopedic tradition alive. These attributes make 3324 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3324 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3319–3329) to tune search ranges, and educators feature 3324 in worksheets about factor trees. Its binary footprint of length 12 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 3324 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 3324
Is 3324 a prime number?
3324 is composite with 12 total factors and the prime factorization 2^2 × 3 × 277.
What is the prime factorization of 3324?
It breaks down as 2^2 × 3 × 277, multiplying the primes 2 × 2 × 3 × 277.
How is 3324 represented in binary and hexadecimal?
3324 converts to 110011111100 in binary and CFC in hexadecimal, which are helpful for computer science applications.
Is 3324 a perfect square, cube, or triangular number?
3324 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3324?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.