3624
3624 is a even composite number that follows 3623 and precedes 3625. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624. Its prime factorization can be written as 2^3 × 3 × 151. 3624 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3624 is represented as 111000101000 in binary and E28 in hexadecimal. Historically, it is written as MMMDCXXIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 151) reveals 5 prime building blocks.
Divisible by 2
3624 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
3624 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
3624 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 3624 within several notable number theory sequences:
Timeline
Deep dive
How 3624 breaks down
3624 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 5496, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000101000 supports bitwise reasoning, hexadecimal E28 aligns with computing notation, and the Roman numeral MMMDCXXIV keeps the encyclopedic tradition alive. These attributes make 3624 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3624 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3619–3629) to tune search ranges, and educators feature 3624 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 3624 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 3624
Is 3624 a prime number?
3624 is composite with 16 total factors and the prime factorization 2^3 × 3 × 151.
What is the prime factorization of 3624?
It breaks down as 2^3 × 3 × 151, multiplying the primes 2 × 2 × 2 × 3 × 151.
How is 3624 represented in binary and hexadecimal?
3624 converts to 111000101000 in binary and E28 in hexadecimal, which are helpful for computer science applications.
Is 3624 a perfect square, cube, or triangular number?
3624 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3624?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.