704
704 is a even composite number that follows 703 and precedes 705. It is composed of 14 distinct factors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704. Its prime factorization can be written as 2^6 × 11. 704 is classified as a abundant number based on the sum of its proper divisors. In computer science, 704 is represented as 1011000000 in binary and 2C0 in hexadecimal. Historically, it is written as DCCIV in Roman numerals.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 11) reveals 7 prime building blocks.
Divisible by 2
704 ends in 4, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
704 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 11 is not a multiple of 9.
Divisible by 10
704 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 704 within several notable number theory sequences:
Timeline
Deep dive
How 704 breaks down
704 carries 14 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 820, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011000000 supports bitwise reasoning, hexadecimal 2C0 aligns with computing notation, and the Roman numeral DCCIV keeps the encyclopedic tradition alive. These attributes make 704 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 704 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (699–709) to tune search ranges, and educators feature 704 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, Abundant numbers) help historians, numerologists, and trivia writers tie 704 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 704
Is 704 a prime number?
704 is composite with 14 total factors and the prime factorization 2^6 × 11.
What is the prime factorization of 704?
It breaks down as 2^6 × 11, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 11.
How is 704 represented in binary and hexadecimal?
704 converts to 1011000000 in binary and 2C0 in hexadecimal, which are helpful for computer science applications.
Is 704 a perfect square, cube, or triangular number?
704 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 704?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.