5687
5687 is a odd composite number that follows 5686 and precedes 5688. It is composed of 6 distinct factors: 1, 11, 47, 121, 517, 5687. Its prime factorization can be written as 11^2 × 47. 5687 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5687 is represented as 1011000110111 in binary and 1637 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (11^2 × 47) reveals 3 prime building blocks.
Divisible by 2
5687 ends in 7, so it is odd.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
5687 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 26 is not a multiple of 9.
Divisible by 10
5687 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 5687 within several notable number theory sequences:
Timeline
Deep dive
How 5687 breaks down
5687 carries 6 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 697, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011000110111 supports bitwise reasoning, hexadecimal 1637 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5687 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5687 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5682–5692) to tune search ranges, and educators feature 5687 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 5687 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 5687
Is 5687 a prime number?
5687 is composite with 6 total factors and the prime factorization 11^2 × 47.
What is the prime factorization of 5687?
It breaks down as 11^2 × 47, multiplying the primes 11 × 11 × 47.
How is 5687 represented in binary and hexadecimal?
5687 converts to 1011000110111 in binary and 1637 in hexadecimal, which are helpful for computer science applications.
Is 5687 a perfect square, cube, or triangular number?
5687 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5687?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.