987
987 is a odd composite number that follows 986 and precedes 988. It is composed of 8 distinct factors: 1, 3, 7, 21, 47, 141, 329, 987. Its prime factorization can be written as 3 × 7 × 47. 987 is classified as a deficient number based on the sum of its proper divisors. In computer science, 987 is represented as 1111011011 in binary and 3DB in hexadecimal. Historically, it is written as CMLXXXVII in Roman numerals. It also belongs to the Fibonacci number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 7 × 47) reveals 3 prime building blocks.
Divisible by 2
987 ends in 7, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
987 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 24 is not a multiple of 9.
Divisible by 10
987 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 987 within several notable number theory sequences:
Timeline
Deep dive
How 987 breaks down
987 carries 8 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 549, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111011011 supports bitwise reasoning, hexadecimal 3DB aligns with computing notation, and the Roman numeral CMLXXXVII keeps the encyclopedic tradition alive. These attributes make 987 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 987 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (982–992) to tune search ranges, and educators feature 987 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Fibonacci numbers) help historians, numerologists, and trivia writers tie 987 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 987
Is 987 a prime number?
987 is composite with 8 total factors and the prime factorization 3 × 7 × 47.
What is the prime factorization of 987?
It breaks down as 3 × 7 × 47, multiplying the primes 3 × 7 × 47.
How is 987 represented in binary and hexadecimal?
987 converts to 1111011011 in binary and 3DB in hexadecimal, which are helpful for computer science applications.
Is 987 a perfect square, cube, or triangular number?
987 is not a perfect square, is not a perfect cube, and is not triangular. It also belongs to the Fibonacci sequence.
What are the digit sum and digital root of 987?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.