6984
6984 is a even composite number that follows 6983 and precedes 6985. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984. Its prime factorization can be written as 2^3 × 3^2 × 97. 6984 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6984 is represented as 1101101001000 in binary and 1B48 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 3^2 × 97) reveals 6 prime building blocks.
Divisible by 2
6984 ends in 4, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
6984 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 27 is a multiple of 9.
Divisible by 10
6984 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 6984 within several notable number theory sequences:
Timeline
Deep dive
How 6984 breaks down
6984 carries 24 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 12126, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101001000 supports bitwise reasoning, hexadecimal 1B48 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6984 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6984 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6979–6989) to tune search ranges, and educators feature 6984 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, Abundant numbers) help historians, numerologists, and trivia writers tie 6984 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 6984
Is 6984 a prime number?
6984 is composite with 24 total factors and the prime factorization 2^3 × 3^2 × 97.
What is the prime factorization of 6984?
It breaks down as 2^3 × 3^2 × 97, multiplying the primes 2 × 2 × 2 × 3 × 3 × 97.
How is 6984 represented in binary and hexadecimal?
6984 converts to 1101101001000 in binary and 1B48 in hexadecimal, which are helpful for computer science applications.
Is 6984 a perfect square, cube, or triangular number?
6984 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6984?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.