55804
55804 is a even composite number that follows 55803 and precedes 55805. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 1993, 3986, 7972, 13951, 27902, 55804. Its prime factorization can be written as 2^2 × 7 × 1993. 55804 is classified as a abundant number based on the sum of its proper divisors. In computer science, 55804 is represented as 1101100111111100 in binary and D9FC in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 1993) reveals 4 prime building blocks.
Divisible by 2
55804 ends in 4, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
55804 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
55804 does not end in 0.
Divisible by 11
The alternating digit sum 12 is not a multiple of 11.
Abundant classification and digit analytics place 55804 within several notable number theory sequences:
Timeline
Deep dive
How 55804 breaks down
55804 carries 12 distinct factors and a digit signature of 22 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 55860, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100111111100 supports bitwise reasoning, hexadecimal D9FC aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55804 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55804 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55799–55809) to tune search ranges, and educators feature 55804 in worksheets about factor trees. Its binary footprint of length 16 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 55804 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 55804
Is 55804 a prime number?
55804 is composite with 12 total factors and the prime factorization 2^2 × 7 × 1993.
What is the prime factorization of 55804?
It breaks down as 2^2 × 7 × 1993, multiplying the primes 2 × 2 × 7 × 1993.
How is 55804 represented in binary and hexadecimal?
55804 converts to 1101100111111100 in binary and D9FC in hexadecimal, which are helpful for computer science applications.
Is 55804 a perfect square, cube, or triangular number?
55804 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55804?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.