8084
8084 is a even composite number that follows 8083 and precedes 8085. It is composed of 12 distinct factors: 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084. Its prime factorization can be written as 2^2 × 43 × 47. 8084 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8084 is represented as 1111110010100 in binary and 1F94 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 43 × 47) reveals 4 prime building blocks.
Divisible by 2
8084 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
8084 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 20 is not a multiple of 9.
Divisible by 10
8084 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Deficient classification and digit analytics place 8084 within several notable number theory sequences:
Timeline
Deep dive
How 8084 breaks down
8084 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 6700, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110010100 supports bitwise reasoning, hexadecimal 1F94 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8084 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8084 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8079–8089) to tune search ranges, and educators feature 8084 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 8084 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 8084
Is 8084 a prime number?
8084 is composite with 12 total factors and the prime factorization 2^2 × 43 × 47.
What is the prime factorization of 8084?
It breaks down as 2^2 × 43 × 47, multiplying the primes 2 × 2 × 43 × 47.
How is 8084 represented in binary and hexadecimal?
8084 converts to 1111110010100 in binary and 1F94 in hexadecimal, which are helpful for computer science applications.
Is 8084 a perfect square, cube, or triangular number?
8084 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8084?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.