3004
3004 is a even composite number that follows 3003 and precedes 3005. It is composed of 6 distinct factors: 1, 2, 4, 751, 1502, 3004. Its prime factorization can be written as 2^2 × 751. 3004 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3004 is represented as 101110111100 in binary and BBC in hexadecimal. Historically, it is written as MMMIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 751) reveals 3 prime building blocks.
Divisible by 2
3004 ends in 4, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
3004 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 7 is not a multiple of 9.
Divisible by 10
3004 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3004 within several notable number theory sequences:
Timeline
Deep dive
How 3004 breaks down
3004 carries 6 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2260, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110111100 supports bitwise reasoning, hexadecimal BBC aligns with computing notation, and the Roman numeral MMMIV keeps the encyclopedic tradition alive. These attributes make 3004 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3004 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2999–3009) to tune search ranges, and educators feature 3004 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 3004 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 3004
Is 3004 a prime number?
3004 is composite with 6 total factors and the prime factorization 2^2 × 751.
What is the prime factorization of 3004?
It breaks down as 2^2 × 751, multiplying the primes 2 × 2 × 751.
How is 3004 represented in binary and hexadecimal?
3004 converts to 101110111100 in binary and BBC in hexadecimal, which are helpful for computer science applications.
Is 3004 a perfect square, cube, or triangular number?
3004 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3004?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.