6808
6808 is a even composite number that follows 6807 and precedes 6809. It is composed of 16 distinct factors: 1, 2, 4, 8, 23, 37, 46, 74, 92, 148, 184, 296, 851, 1702, 3404, 6808. Its prime factorization can be written as 2^3 × 23 × 37. 6808 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6808 is represented as 1101010011000 in binary and 1A98 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 23 × 37) reveals 5 prime building blocks.
Divisible by 2
6808 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
6808 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 22 is not a multiple of 9.
Divisible by 10
6808 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 6808 within several notable number theory sequences:
Timeline
Deep dive
How 6808 breaks down
6808 carries 16 distinct factors and a digit signature of 22 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 6872, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101010011000 supports bitwise reasoning, hexadecimal 1A98 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6808 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6808 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6803–6813) to tune search ranges, and educators feature 6808 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 6808 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 6808
Is 6808 a prime number?
6808 is composite with 16 total factors and the prime factorization 2^3 × 23 × 37.
What is the prime factorization of 6808?
It breaks down as 2^3 × 23 × 37, multiplying the primes 2 × 2 × 2 × 23 × 37.
How is 6808 represented in binary and hexadecimal?
6808 converts to 1101010011000 in binary and 1A98 in hexadecimal, which are helpful for computer science applications.
Is 6808 a perfect square, cube, or triangular number?
6808 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6808?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.