1304
1304 is a even composite number that follows 1303 and precedes 1305. It is composed of 8 distinct factors: 1, 2, 4, 8, 163, 326, 652, 1304. Its prime factorization can be written as 2^3 × 163. 1304 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1304 is represented as 10100011000 in binary and 518 in hexadecimal. Historically, it is written as MCCCIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 163) reveals 4 prime building blocks.
Divisible by 2
1304 ends in 4, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
1304 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 8 is not a multiple of 9.
Divisible by 10
1304 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 1304 within several notable number theory sequences:
Timeline
Deep dive
How 1304 breaks down
1304 carries 8 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1156, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100011000 supports bitwise reasoning, hexadecimal 518 aligns with computing notation, and the Roman numeral MCCCIV keeps the encyclopedic tradition alive. These attributes make 1304 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1304 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1299–1309) to tune search ranges, and educators feature 1304 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, Deficient numbers) help historians, numerologists, and trivia writers tie 1304 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 1304
Is 1304 a prime number?
1304 is composite with 8 total factors and the prime factorization 2^3 × 163.
What is the prime factorization of 1304?
It breaks down as 2^3 × 163, multiplying the primes 2 × 2 × 2 × 163.
How is 1304 represented in binary and hexadecimal?
1304 converts to 10100011000 in binary and 518 in hexadecimal, which are helpful for computer science applications.
Is 1304 a perfect square, cube, or triangular number?
1304 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1304?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.