2687
2687 is a odd prime number that follows 2686 and precedes 2688. As a prime number, 2687 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2687. 2687 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2687 is represented as 101001111111 in binary and A7F in hexadecimal. Historically, it is written as MMDCLXXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
2687 is prime, so its only factors are 1 and 2687.
Divisible by 2
2687 ends in 7, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
2687 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 23 is not a multiple of 9.
Divisible by 10
2687 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 2687 within several notable number theory sequences:
Timeline
Deep dive
How 2687 breaks down
2687 carries 2 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001111111 supports bitwise reasoning, hexadecimal A7F aligns with computing notation, and the Roman numeral MMDCLXXXVII keeps the encyclopedic tradition alive. These attributes make 2687 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2687 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2682–2692) to tune search ranges, and educators feature 2687 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2687 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 2687
Is 2687 a prime number?
2687 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2687?
2687 is already prime, so the factorization is simply 2687.
How is 2687 represented in binary and hexadecimal?
2687 converts to 101001111111 in binary and A7F in hexadecimal, which are helpful for computer science applications.
Is 2687 a perfect square, cube, or triangular number?
2687 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2687?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.