1287
1287 is a odd composite number that follows 1286 and precedes 1288. It is composed of 12 distinct factors: 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287. Its prime factorization can be written as 3^2 × 11 × 13. 1287 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1287 is represented as 10100000111 in binary and 507 in hexadecimal. Historically, it is written as MCCLXXXVII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 11 × 13) reveals 4 prime building blocks.
Divisible by 2
1287 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
1287 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
1287 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 1287 within several notable number theory sequences:
Timeline
Deep dive
How 1287 breaks down
1287 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 897, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100000111 supports bitwise reasoning, hexadecimal 507 aligns with computing notation, and the Roman numeral MCCLXXXVII keeps the encyclopedic tradition alive. These attributes make 1287 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1287 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1282–1292) to tune search ranges, and educators feature 1287 in worksheets about factor trees. Its binary footprint of length 11 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 1287 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 1287
Is 1287 a prime number?
1287 is composite with 12 total factors and the prime factorization 3^2 × 11 × 13.
What is the prime factorization of 1287?
It breaks down as 3^2 × 11 × 13, multiplying the primes 3 × 3 × 11 × 13.
How is 1287 represented in binary and hexadecimal?
1287 converts to 10100000111 in binary and 507 in hexadecimal, which are helpful for computer science applications.
Is 1287 a perfect square, cube, or triangular number?
1287 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1287?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.