8808
8808 is a even composite number that follows 8807 and precedes 8809. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808. Its prime factorization can be written as 2^3 × 3 × 367. 8808 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8808 is represented as 10001001101000 in binary and 2268 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 367) reveals 5 prime building blocks.
Divisible by 2
8808 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
8808 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 24 is not a multiple of 9.
Divisible by 10
8808 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Abundant classification and digit analytics place 8808 within several notable number theory sequences:
Timeline
Deep dive
How 8808 breaks down
8808 carries 16 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 13272, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001001101000 supports bitwise reasoning, hexadecimal 2268 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8808 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8808 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8803–8813) to tune search ranges, and educators feature 8808 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, Abundant numbers) help historians, numerologists, and trivia writers tie 8808 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 8808
Is 8808 a prime number?
8808 is composite with 16 total factors and the prime factorization 2^3 × 3 × 367.
What is the prime factorization of 8808?
It breaks down as 2^3 × 3 × 367, multiplying the primes 2 × 2 × 2 × 3 × 367.
How is 8808 represented in binary and hexadecimal?
8808 converts to 10001001101000 in binary and 2268 in hexadecimal, which are helpful for computer science applications.
Is 8808 a perfect square, cube, or triangular number?
8808 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8808?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.