1904
1904 is a even composite number that follows 1903 and precedes 1905. It is composed of 20 distinct factors: 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904. Its prime factorization can be written as 2^4 × 7 × 17. 1904 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1904 is represented as 11101110000 in binary and 770 in hexadecimal. Historically, it is written as MCMIV in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 7 × 17) reveals 6 prime building blocks.
Divisible by 2
1904 ends in 4, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
1904 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 14 is not a multiple of 9.
Divisible by 10
1904 does not end in 0.
Divisible by 11
The alternating digit sum -12 is not a multiple of 11.
Abundant classification and digit analytics place 1904 within several notable number theory sequences:
Timeline
Deep dive
How 1904 breaks down
1904 carries 20 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 2560, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11101110000 supports bitwise reasoning, hexadecimal 770 aligns with computing notation, and the Roman numeral MCMIV keeps the encyclopedic tradition alive. These attributes make 1904 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1904 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1899–1909) to tune search ranges, and educators feature 1904 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 1904 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 1904
Is 1904 a prime number?
1904 is composite with 20 total factors and the prime factorization 2^4 × 7 × 17.
What is the prime factorization of 1904?
It breaks down as 2^4 × 7 × 17, multiplying the primes 2 × 2 × 2 × 2 × 7 × 17.
How is 1904 represented in binary and hexadecimal?
1904 converts to 11101110000 in binary and 770 in hexadecimal, which are helpful for computer science applications.
Is 1904 a perfect square, cube, or triangular number?
1904 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1904?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.