3630
3630 is a even composite number that follows 3629 and precedes 3631. It is composed of 24 distinct factors: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630. Its prime factorization can be written as 2 × 3 × 5 × 11^2. 3630 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3630 is represented as 111000101110 in binary and E2E in hexadecimal. Historically, it is written as MMMDCXXX in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3 × 5 × 11^2) reveals 5 prime building blocks.
Divisible by 2
3630 ends in 0, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 30 are not divisible by 4.
Divisible by 5
3630 ends in 0, so it is divisible by 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
3630 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 3630 within several notable number theory sequences:
Timeline
Deep dive
How 3630 breaks down
3630 carries 24 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 5946, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000101110 supports bitwise reasoning, hexadecimal E2E aligns with computing notation, and the Roman numeral MMMDCXXX keeps the encyclopedic tradition alive. These attributes make 3630 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3630 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3625–3635) to tune search ranges, and educators feature 3630 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 3630 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 3630
Is 3630 a prime number?
3630 is composite with 24 total factors and the prime factorization 2 × 3 × 5 × 11^2.
What is the prime factorization of 3630?
It breaks down as 2 × 3 × 5 × 11^2, multiplying the primes 2 × 3 × 5 × 11 × 11.
How is 3630 represented in binary and hexadecimal?
3630 converts to 111000101110 in binary and E2E in hexadecimal, which are helpful for computer science applications.
Is 3630 a perfect square, cube, or triangular number?
3630 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3630?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.