6987
6987 is a odd composite number that follows 6986 and precedes 6988. It is composed of 8 distinct factors: 1, 3, 17, 51, 137, 411, 2329, 6987. Its prime factorization can be written as 3 × 17 × 137. 6987 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6987 is represented as 1101101001011 in binary and 1B4B in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 17 × 137) reveals 3 prime building blocks.
Divisible by 2
6987 ends in 7, so it is odd.
Divisible by 3
The digit sum 30 is a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
6987 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 30 is not a multiple of 9.
Divisible by 10
6987 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 6987 within several notable number theory sequences:
Timeline
Deep dive
How 6987 breaks down
6987 carries 8 distinct factors and a digit signature of 30 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 2949, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101001011 supports bitwise reasoning, hexadecimal 1B4B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6987 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6987 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6982–6992) to tune search ranges, and educators feature 6987 in worksheets about factor trees. Its binary footprint of length 13 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 6987 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 6987
Is 6987 a prime number?
6987 is composite with 8 total factors and the prime factorization 3 × 17 × 137.
What is the prime factorization of 6987?
It breaks down as 3 × 17 × 137, multiplying the primes 3 × 17 × 137.
How is 6987 represented in binary and hexadecimal?
6987 converts to 1101101001011 in binary and 1B4B in hexadecimal, which are helpful for computer science applications.
Is 6987 a perfect square, cube, or triangular number?
6987 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6987?
The digits sum to 30, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.