2904
2904 is a even composite number that follows 2903 and precedes 2905. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904. Its prime factorization can be written as 2^3 × 3 × 11^2. 2904 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2904 is represented as 101101011000 in binary and B58 in hexadecimal. Historically, it is written as MMCMIV in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 3 × 11^2) reveals 6 prime building blocks.
Divisible by 2
2904 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
2904 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 15 is not a multiple of 9.
Divisible by 10
2904 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Abundant classification and digit analytics place 2904 within several notable number theory sequences:
Timeline
Deep dive
How 2904 breaks down
2904 carries 24 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 5076, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101011000 supports bitwise reasoning, hexadecimal B58 aligns with computing notation, and the Roman numeral MMCMIV keeps the encyclopedic tradition alive. These attributes make 2904 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2904 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2899–2909) to tune search ranges, and educators feature 2904 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2904 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 2904
Is 2904 a prime number?
2904 is composite with 24 total factors and the prime factorization 2^3 × 3 × 11^2.
What is the prime factorization of 2904?
It breaks down as 2^3 × 3 × 11^2, multiplying the primes 2 × 2 × 2 × 3 × 11 × 11.
How is 2904 represented in binary and hexadecimal?
2904 converts to 101101011000 in binary and B58 in hexadecimal, which are helpful for computer science applications.
Is 2904 a perfect square, cube, or triangular number?
2904 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2904?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.