3924
3924 is a even composite number that follows 3923 and precedes 3925. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924. Its prime factorization can be written as 2^2 × 3^2 × 109. 3924 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3924 is represented as 111101010100 in binary and F54 in hexadecimal. Historically, it is written as MMMCMXXIV in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 109) reveals 5 prime building blocks.
Divisible by 2
3924 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
3924 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
3924 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Abundant classification and digit analytics place 3924 within several notable number theory sequences:
Timeline
Deep dive
How 3924 breaks down
3924 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 6086, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101010100 supports bitwise reasoning, hexadecimal F54 aligns with computing notation, and the Roman numeral MMMCMXXIV keeps the encyclopedic tradition alive. These attributes make 3924 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3924 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3919–3929) to tune search ranges, and educators feature 3924 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 3924 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 3924
Is 3924 a prime number?
3924 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 109.
What is the prime factorization of 3924?
It breaks down as 2^2 × 3^2 × 109, multiplying the primes 2 × 2 × 3 × 3 × 109.
How is 3924 represented in binary and hexadecimal?
3924 converts to 111101010100 in binary and F54 in hexadecimal, which are helpful for computer science applications.
Is 3924 a perfect square, cube, or triangular number?
3924 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3924?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.