2204
2204 is a even composite number that follows 2203 and precedes 2205. It is composed of 12 distinct factors: 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204. Its prime factorization can be written as 2^2 × 19 × 29. 2204 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2204 is represented as 100010011100 in binary and 89C in hexadecimal. Historically, it is written as MMCCIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 19 × 29) reveals 4 prime building blocks.
Divisible by 2
2204 ends in 4, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
2204 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 8 is not a multiple of 9.
Divisible by 10
2204 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 2204 within several notable number theory sequences:
Timeline
Deep dive
How 2204 breaks down
2204 carries 12 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1996, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010011100 supports bitwise reasoning, hexadecimal 89C aligns with computing notation, and the Roman numeral MMCCIV keeps the encyclopedic tradition alive. These attributes make 2204 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2204 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2199–2209) to tune search ranges, and educators feature 2204 in worksheets about factor trees. Its binary footprint of length 12 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 2204 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 2204
Is 2204 a prime number?
2204 is composite with 12 total factors and the prime factorization 2^2 × 19 × 29.
What is the prime factorization of 2204?
It breaks down as 2^2 × 19 × 29, multiplying the primes 2 × 2 × 19 × 29.
How is 2204 represented in binary and hexadecimal?
2204 converts to 100010011100 in binary and 89C in hexadecimal, which are helpful for computer science applications.
Is 2204 a perfect square, cube, or triangular number?
2204 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2204?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.