6704
6704 is a even composite number that follows 6703 and precedes 6705. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704. Its prime factorization can be written as 2^4 × 419. 6704 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6704 is represented as 1101000110000 in binary and 1A30 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 419) reveals 5 prime building blocks.
Divisible by 2
6704 ends in 4, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
6704 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 17 is not a multiple of 9.
Divisible by 10
6704 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 6704 within several notable number theory sequences:
Timeline
Deep dive
How 6704 breaks down
6704 carries 10 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 6316, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101000110000 supports bitwise reasoning, hexadecimal 1A30 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6704 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6704 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6699–6709) to tune search ranges, and educators feature 6704 in worksheets about factor trees. Its binary footprint of length 13 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 6704 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 6704
Is 6704 a prime number?
6704 is composite with 10 total factors and the prime factorization 2^4 × 419.
What is the prime factorization of 6704?
It breaks down as 2^4 × 419, multiplying the primes 2 × 2 × 2 × 2 × 419.
How is 6704 represented in binary and hexadecimal?
6704 converts to 1101000110000 in binary and 1A30 in hexadecimal, which are helpful for computer science applications.
Is 6704 a perfect square, cube, or triangular number?
6704 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6704?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.