3087
3087 is a odd composite number that follows 3086 and precedes 3088. It is composed of 12 distinct factors: 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087. Its prime factorization can be written as 3^2 × 7^3. 3087 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3087 is represented as 110000001111 in binary and C0F in hexadecimal. Historically, it is written as MMMLXXXVII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 7^3) reveals 5 prime building blocks.
Divisible by 2
3087 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 87 are not divisible by 4.
Divisible by 5
3087 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
3087 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 3087 within several notable number theory sequences:
Timeline
Deep dive
How 3087 breaks down
3087 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 2113, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110000001111 supports bitwise reasoning, hexadecimal C0F aligns with computing notation, and the Roman numeral MMMLXXXVII keeps the encyclopedic tradition alive. These attributes make 3087 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3087 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3082–3092) to tune search ranges, and educators feature 3087 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 3087 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 3087
Is 3087 a prime number?
3087 is composite with 12 total factors and the prime factorization 3^2 × 7^3.
What is the prime factorization of 3087?
It breaks down as 3^2 × 7^3, multiplying the primes 3 × 3 × 7 × 7 × 7.
How is 3087 represented in binary and hexadecimal?
3087 converts to 110000001111 in binary and C0F in hexadecimal, which are helpful for computer science applications.
Is 3087 a perfect square, cube, or triangular number?
3087 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3087?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.