5704
5704 is a even composite number that follows 5703 and precedes 5705. It is composed of 16 distinct factors: 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704. Its prime factorization can be written as 2^3 × 23 × 31. 5704 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5704 is represented as 1011001001000 in binary and 1648 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 23 × 31) reveals 5 prime building blocks.
Divisible by 2
5704 ends in 4, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 04 form a multiple of 4.
Divisible by 5
5704 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 16 is not a multiple of 9.
Divisible by 10
5704 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 5704 within several notable number theory sequences:
Timeline
Deep dive
How 5704 breaks down
5704 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 5816, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001001000 supports bitwise reasoning, hexadecimal 1648 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5704 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5704 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5699–5709) to tune search ranges, and educators feature 5704 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, Abundant numbers) help historians, numerologists, and trivia writers tie 5704 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 5704
Is 5704 a prime number?
5704 is composite with 16 total factors and the prime factorization 2^3 × 23 × 31.
What is the prime factorization of 5704?
It breaks down as 2^3 × 23 × 31, multiplying the primes 2 × 2 × 2 × 23 × 31.
How is 5704 represented in binary and hexadecimal?
5704 converts to 1011001001000 in binary and 1648 in hexadecimal, which are helpful for computer science applications.
Is 5704 a perfect square, cube, or triangular number?
5704 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5704?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.