5759
5759 is a odd composite number that follows 5758 and precedes 5760. It is composed of 4 distinct factors: 1, 13, 443, 5759. Its prime factorization can be written as 13 × 443. 5759 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5759 is represented as 1011001111111 in binary and 167F in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 443) reveals 2 prime building blocks.
Divisible by 2
5759 ends in 9, so it is odd.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
5759 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
5759 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 5759 within several notable number theory sequences:
Timeline
Deep dive
How 5759 breaks down
5759 carries 4 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 457, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001111111 supports bitwise reasoning, hexadecimal 167F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5759 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5759 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5754–5764) to tune search ranges, and educators feature 5759 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 5759 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 5759
Is 5759 a prime number?
5759 is composite with 4 total factors and the prime factorization 13 × 443.
What is the prime factorization of 5759?
It breaks down as 13 × 443, multiplying the primes 13 × 443.
How is 5759 represented in binary and hexadecimal?
5759 converts to 1011001111111 in binary and 167F in hexadecimal, which are helpful for computer science applications.
Is 5759 a perfect square, cube, or triangular number?
5759 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5759?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.