2487
2487 is a odd composite number that follows 2486 and precedes 2488. It is composed of 4 distinct factors: 1, 3, 829, 2487. Its prime factorization can be written as 3 × 829. 2487 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2487 is represented as 100110110111 in binary and 9B7 in hexadecimal. Historically, it is written as MMCDLXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 829) reveals 2 prime building blocks.
Divisible by 2
2487 ends in 7, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
2487 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 21 is not a multiple of 9.
Divisible by 10
2487 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 2487 within several notable number theory sequences:
Timeline
Deep dive
How 2487 breaks down
2487 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 833, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110110111 supports bitwise reasoning, hexadecimal 9B7 aligns with computing notation, and the Roman numeral MMCDLXXXVII keeps the encyclopedic tradition alive. These attributes make 2487 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2487 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2482–2492) to tune search ranges, and educators feature 2487 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 2487 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 2487
Is 2487 a prime number?
2487 is composite with 4 total factors and the prime factorization 3 × 829.
What is the prime factorization of 2487?
It breaks down as 3 × 829, multiplying the primes 3 × 829.
How is 2487 represented in binary and hexadecimal?
2487 converts to 100110110111 in binary and 9B7 in hexadecimal, which are helpful for computer science applications.
Is 2487 a perfect square, cube, or triangular number?
2487 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2487?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.