3687
3687 is a odd composite number that follows 3686 and precedes 3688. It is composed of 4 distinct factors: 1, 3, 1229, 3687. Its prime factorization can be written as 3 × 1229. 3687 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3687 is represented as 111001100111 in binary and E67 in hexadecimal. Historically, it is written as MMMDCLXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 1229) reveals 2 prime building blocks.
Divisible by 2
3687 ends in 7, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
3687 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 24 is not a multiple of 9.
Divisible by 10
3687 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 3687 within several notable number theory sequences:
Timeline
Deep dive
How 3687 breaks down
3687 carries 4 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1233, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001100111 supports bitwise reasoning, hexadecimal E67 aligns with computing notation, and the Roman numeral MMMDCLXXXVII keeps the encyclopedic tradition alive. These attributes make 3687 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3687 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3682–3692) to tune search ranges, and educators feature 3687 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 3687 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 3687
Is 3687 a prime number?
3687 is composite with 4 total factors and the prime factorization 3 × 1229.
What is the prime factorization of 3687?
It breaks down as 3 × 1229, multiplying the primes 3 × 1229.
How is 3687 represented in binary and hexadecimal?
3687 converts to 111001100111 in binary and E67 in hexadecimal, which are helpful for computer science applications.
Is 3687 a perfect square, cube, or triangular number?
3687 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3687?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.