8804
8804 is a even composite number that follows 8803 and precedes 8805. It is composed of 12 distinct factors: 1, 2, 4, 31, 62, 71, 124, 142, 284, 2201, 4402, 8804. Its prime factorization can be written as 2^2 × 31 × 71. 8804 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8804 is represented as 10001001100100 in binary and 2264 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 31 × 71) reveals 4 prime building blocks.
Divisible by 2
8804 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 04 form a multiple of 4.
Divisible by 5
8804 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
8804 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 8804 within several notable number theory sequences:
Timeline
Deep dive
How 8804 breaks down
8804 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 7324, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001001100100 supports bitwise reasoning, hexadecimal 2264 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8804 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8804 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8799–8809) to tune search ranges, and educators feature 8804 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 8804 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 8804
Is 8804 a prime number?
8804 is composite with 12 total factors and the prime factorization 2^2 × 31 × 71.
What is the prime factorization of 8804?
It breaks down as 2^2 × 31 × 71, multiplying the primes 2 × 2 × 31 × 71.
How is 8804 represented in binary and hexadecimal?
8804 converts to 10001001100100 in binary and 2264 in hexadecimal, which are helpful for computer science applications.
Is 8804 a perfect square, cube, or triangular number?
8804 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8804?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.