2004
2004 is a even composite number that follows 2003 and precedes 2005. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004. Its prime factorization can be written as 2^2 × 3 × 167. 2004 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2004 is represented as 11111010100 in binary and 7D4 in hexadecimal. Historically, it is written as MMIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 167) reveals 4 prime building blocks.
Divisible by 2
2004 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
2004 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
2004 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 2004 within several notable number theory sequences:
Timeline
Deep dive
How 2004 breaks down
2004 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 2700, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111010100 supports bitwise reasoning, hexadecimal 7D4 aligns with computing notation, and the Roman numeral MMIV keeps the encyclopedic tradition alive. These attributes make 2004 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2004 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1999–2009) to tune search ranges, and educators feature 2004 in worksheets about factor trees. Its binary footprint of length 11 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 2004 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 2004
Is 2004 a prime number?
2004 is composite with 12 total factors and the prime factorization 2^2 × 3 × 167.
What is the prime factorization of 2004?
It breaks down as 2^2 × 3 × 167, multiplying the primes 2 × 2 × 3 × 167.
How is 2004 represented in binary and hexadecimal?
2004 converts to 11111010100 in binary and 7D4 in hexadecimal, which are helpful for computer science applications.
Is 2004 a perfect square, cube, or triangular number?
2004 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2004?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.