3724
3724 is a even composite number that follows 3723 and precedes 3725. It is composed of 18 distinct factors: 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724. Its prime factorization can be written as 2^2 × 7^2 × 19. 3724 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3724 is represented as 111010001100 in binary and E8C in hexadecimal. Historically, it is written as MMMDCCXXIV in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 7^2 × 19) reveals 5 prime building blocks.
Divisible by 2
3724 ends in 4, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
3724 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 16 is not a multiple of 9.
Divisible by 10
3724 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 3724 within several notable number theory sequences:
Timeline
Deep dive
How 3724 breaks down
3724 carries 18 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 4256, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010001100 supports bitwise reasoning, hexadecimal E8C aligns with computing notation, and the Roman numeral MMMDCCXXIV keeps the encyclopedic tradition alive. These attributes make 3724 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3724 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3719–3729) to tune search ranges, and educators feature 3724 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 3724 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 3724
Is 3724 a prime number?
3724 is composite with 18 total factors and the prime factorization 2^2 × 7^2 × 19.
What is the prime factorization of 3724?
It breaks down as 2^2 × 7^2 × 19, multiplying the primes 2 × 2 × 7 × 7 × 19.
How is 3724 represented in binary and hexadecimal?
3724 converts to 111010001100 in binary and E8C in hexadecimal, which are helpful for computer science applications.
Is 3724 a perfect square, cube, or triangular number?
3724 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3724?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.