904
904 is a even composite number that follows 903 and precedes 905. It is composed of 8 distinct factors: 1, 2, 4, 8, 113, 226, 452, 904. Its prime factorization can be written as 2^3 × 113. 904 is classified as a deficient number based on the sum of its proper divisors. In computer science, 904 is represented as 1110001000 in binary and 388 in hexadecimal. Historically, it is written as CMIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 113) reveals 4 prime building blocks.
Divisible by 2
904 ends in 4, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
904 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 13 is not a multiple of 9.
Divisible by 10
904 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 904 within several notable number theory sequences:
Timeline
Deep dive
How 904 breaks down
904 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 806, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110001000 supports bitwise reasoning, hexadecimal 388 aligns with computing notation, and the Roman numeral CMIV keeps the encyclopedic tradition alive. These attributes make 904 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 904 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (899–909) to tune search ranges, and educators feature 904 in worksheets about factor trees. Its binary footprint of length 10 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 904 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 904
Is 904 a prime number?
904 is composite with 8 total factors and the prime factorization 2^3 × 113.
What is the prime factorization of 904?
It breaks down as 2^3 × 113, multiplying the primes 2 × 2 × 2 × 113.
How is 904 represented in binary and hexadecimal?
904 converts to 1110001000 in binary and 388 in hexadecimal, which are helpful for computer science applications.
Is 904 a perfect square, cube, or triangular number?
904 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 904?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.