204
204 is a even composite number that follows 203 and precedes 205. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. Its prime factorization can be written as 2^2 × 3 × 17. 204 is classified as a abundant number based on the sum of its proper divisors. In computer science, 204 is represented as 11001100 in binary and CC in hexadecimal. Historically, it is written as CCIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 17) reveals 4 prime building blocks.
Divisible by 2
204 ends in 4, so it is even.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
204 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 6 is not a multiple of 9.
Divisible by 10
204 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 204 within several notable number theory sequences:
Timeline
Deep dive
How 204 breaks down
204 carries 12 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 300, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11001100 supports bitwise reasoning, hexadecimal CC aligns with computing notation, and the Roman numeral CCIV keeps the encyclopedic tradition alive. These attributes make 204 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 204 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (199–209) to tune search ranges, and educators feature 204 in worksheets about factor trees. Its binary footprint of length 8 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 204 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 204
Is 204 a prime number?
204 is composite with 12 total factors and the prime factorization 2^2 × 3 × 17.
What is the prime factorization of 204?
It breaks down as 2^2 × 3 × 17, multiplying the primes 2 × 2 × 3 × 17.
How is 204 represented in binary and hexadecimal?
204 converts to 11001100 in binary and CC in hexadecimal, which are helpful for computer science applications.
Is 204 a perfect square, cube, or triangular number?
204 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 204?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.