8987
8987 is a odd composite number that follows 8986 and precedes 8988. It is composed of 8 distinct factors: 1, 11, 19, 43, 209, 473, 817, 8987. Its prime factorization can be written as 11 × 19 × 43. 8987 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8987 is represented as 10001100011011 in binary and 231B in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (11 × 19 × 43) reveals 3 prime building blocks.
Divisible by 2
8987 ends in 7, so it is odd.
Divisible by 3
The digit sum 32 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
8987 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 32 is not a multiple of 9.
Divisible by 10
8987 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 8987 within several notable number theory sequences:
Timeline
Deep dive
How 8987 breaks down
8987 carries 8 distinct factors and a digit signature of 32 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1573, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100011011 supports bitwise reasoning, hexadecimal 231B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8987 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8987 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8982–8992) to tune search ranges, and educators feature 8987 in worksheets about factor trees. Its binary footprint of length 14 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 8987 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 8987
Is 8987 a prime number?
8987 is composite with 8 total factors and the prime factorization 11 × 19 × 43.
What is the prime factorization of 8987?
It breaks down as 11 × 19 × 43, multiplying the primes 11 × 19 × 43.
How is 8987 represented in binary and hexadecimal?
8987 converts to 10001100011011 in binary and 231B in hexadecimal, which are helpful for computer science applications.
Is 8987 a perfect square, cube, or triangular number?
8987 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8987?
The digits sum to 32, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.