3627
3627 is a odd composite number that follows 3626 and precedes 3628. It is composed of 12 distinct factors: 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627. Its prime factorization can be written as 3^2 × 13 × 31. 3627 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3627 is represented as 111000101011 in binary and E2B in hexadecimal. Historically, it is written as MMMDCXXVII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 13 × 31) reveals 4 prime building blocks.
Divisible by 2
3627 ends in 7, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 27 are not divisible by 4.
Divisible by 5
3627 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 18 is a multiple of 9.
Divisible by 10
3627 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 3627 within several notable number theory sequences:
Timeline
Deep dive
How 3627 breaks down
3627 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2197, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000101011 supports bitwise reasoning, hexadecimal E2B aligns with computing notation, and the Roman numeral MMMDCXXVII keeps the encyclopedic tradition alive. These attributes make 3627 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3627 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3622–3632) to tune search ranges, and educators feature 3627 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3627 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 3627
Is 3627 a prime number?
3627 is composite with 12 total factors and the prime factorization 3^2 × 13 × 31.
What is the prime factorization of 3627?
It breaks down as 3^2 × 13 × 31, multiplying the primes 3 × 3 × 13 × 31.
How is 3627 represented in binary and hexadecimal?
3627 converts to 111000101011 in binary and E2B in hexadecimal, which are helpful for computer science applications.
Is 3627 a perfect square, cube, or triangular number?
3627 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3627?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.