6084
6084 is a even composite number that follows 6083 and precedes 6085. It is composed of 27 distinct factors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042, 6084. Its prime factorization can be written as 2^2 × 3^2 × 13^2. 6084 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6084 is represented as 1011111000100 in binary and 17C4 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
27 FactorsProperties
The prime factorization (2^2 × 3^2 × 13^2) reveals 6 prime building blocks.
Divisible by 2
6084 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
6084 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 18 is a multiple of 9.
Divisible by 10
6084 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 6084 within several notable number theory sequences:
Timeline
Deep dive
How 6084 breaks down
6084 carries 27 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 10569, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011111000100 supports bitwise reasoning, hexadecimal 17C4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6084 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6084 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6079–6089) to tune search ranges, and educators feature 6084 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, Perfect squares) help historians, numerologists, and trivia writers tie 6084 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 6084
Is 6084 a prime number?
6084 is composite with 27 total factors and the prime factorization 2^2 × 3^2 × 13^2.
What is the prime factorization of 6084?
It breaks down as 2^2 × 3^2 × 13^2, multiplying the primes 2 × 2 × 3 × 3 × 13 × 13.
How is 6084 represented in binary and hexadecimal?
6084 converts to 1011111000100 in binary and 17C4 in hexadecimal, which are helpful for computer science applications.
Is 6084 a perfect square, cube, or triangular number?
6084 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6084?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.