2587
2587 is a odd composite number that follows 2586 and precedes 2588. It is composed of 4 distinct factors: 1, 13, 199, 2587. Its prime factorization can be written as 13 × 199. 2587 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2587 is represented as 101000011011 in binary and A1B in hexadecimal. Historically, it is written as MMDLXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 199) reveals 2 prime building blocks.
Divisible by 2
2587 ends in 7, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
2587 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 22 is not a multiple of 9.
Divisible by 10
2587 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 2587 within several notable number theory sequences:
Timeline
Deep dive
How 2587 breaks down
2587 carries 4 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 213, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000011011 supports bitwise reasoning, hexadecimal A1B aligns with computing notation, and the Roman numeral MMDLXXXVII keeps the encyclopedic tradition alive. These attributes make 2587 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2587 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2582–2592) to tune search ranges, and educators feature 2587 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 2587 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 2587
Is 2587 a prime number?
2587 is composite with 4 total factors and the prime factorization 13 × 199.
What is the prime factorization of 2587?
It breaks down as 13 × 199, multiplying the primes 13 × 199.
How is 2587 represented in binary and hexadecimal?
2587 converts to 101000011011 in binary and A1B in hexadecimal, which are helpful for computer science applications.
Is 2587 a perfect square, cube, or triangular number?
2587 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2587?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.