304
304 is a even composite number that follows 303 and precedes 305. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. Its prime factorization can be written as 2^4 × 19. 304 is classified as a abundant number based on the sum of its proper divisors. In computer science, 304 is represented as 100110000 in binary and 130 in hexadecimal. Historically, it is written as CCCIV in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 19) reveals 5 prime building blocks.
Divisible by 2
304 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
304 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
304 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 304 within several notable number theory sequences:
Timeline
Deep dive
How 304 breaks down
304 carries 10 distinct factors and a digit signature of 7 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 316, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110000 supports bitwise reasoning, hexadecimal 130 aligns with computing notation, and the Roman numeral CCCIV keeps the encyclopedic tradition alive. These attributes make 304 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 304 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (299–309) to tune search ranges, and educators feature 304 in worksheets about factor trees. Its binary footprint of length 9 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 304 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 304
Is 304 a prime number?
304 is composite with 10 total factors and the prime factorization 2^4 × 19.
What is the prime factorization of 304?
It breaks down as 2^4 × 19, multiplying the primes 2 × 2 × 2 × 2 × 19.
How is 304 represented in binary and hexadecimal?
304 converts to 100110000 in binary and 130 in hexadecimal, which are helpful for computer science applications.
Is 304 a perfect square, cube, or triangular number?
304 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 304?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.