5707
5707 is a odd composite number that follows 5706 and precedes 5708. It is composed of 4 distinct factors: 1, 13, 439, 5707. Its prime factorization can be written as 13 × 439. 5707 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5707 is represented as 1011001001011 in binary and 164B in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 439) reveals 2 prime building blocks.
Divisible by 2
5707 ends in 7, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
5707 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 19 is not a multiple of 9.
Divisible by 10
5707 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 5707 within several notable number theory sequences:
Timeline
Deep dive
How 5707 breaks down
5707 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 453, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001001011 supports bitwise reasoning, hexadecimal 164B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5707 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5707 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5702–5712) to tune search ranges, and educators feature 5707 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 5707 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 5707
Is 5707 a prime number?
5707 is composite with 4 total factors and the prime factorization 13 × 439.
What is the prime factorization of 5707?
It breaks down as 13 × 439, multiplying the primes 13 × 439.
How is 5707 represented in binary and hexadecimal?
5707 converts to 1011001001011 in binary and 164B in hexadecimal, which are helpful for computer science applications.
Is 5707 a perfect square, cube, or triangular number?
5707 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5707?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.