8684
8684 is a even composite number that follows 8683 and precedes 8685. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. Its prime factorization can be written as 2^2 × 13 × 167. 8684 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8684 is represented as 10000111101100 in binary and 21EC in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 167) reveals 4 prime building blocks.
Divisible by 2
8684 ends in 4, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
8684 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 26 is not a multiple of 9.
Divisible by 10
8684 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 8684 within several notable number theory sequences:
Timeline
Deep dive
How 8684 breaks down
8684 carries 12 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 7780, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000111101100 supports bitwise reasoning, hexadecimal 21EC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8684 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8684 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8679–8689) to tune search ranges, and educators feature 8684 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 8684 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 8684
Is 8684 a prime number?
8684 is composite with 12 total factors and the prime factorization 2^2 × 13 × 167.
What is the prime factorization of 8684?
It breaks down as 2^2 × 13 × 167, multiplying the primes 2 × 2 × 13 × 167.
How is 8684 represented in binary and hexadecimal?
8684 converts to 10000111101100 in binary and 21EC in hexadecimal, which are helpful for computer science applications.
Is 8684 a perfect square, cube, or triangular number?
8684 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8684?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.