5791
5791 is a odd prime number that follows 5790 and precedes 5792. As a prime number, 5791 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 5791. 5791 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5791 is represented as 1011010011111 in binary and 169F in hexadecimal.
Factor Analysis
2 FactorsProperties
5791 is prime, so its only factors are 1 and 5791.
Divisible by 2
5791 ends in 1, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
5791 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 22 is not a multiple of 9.
Divisible by 10
5791 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 5791 within several notable number theory sequences:
Timeline
Deep dive
How 5791 breaks down
5791 carries 2 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011010011111 supports bitwise reasoning, hexadecimal 169F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5791 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5791 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5786–5796) to tune search ranges, and educators feature 5791 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 5791 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 5791
Is 5791 a prime number?
5791 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 5791?
5791 is already prime, so the factorization is simply 5791.
How is 5791 represented in binary and hexadecimal?
5791 converts to 1011010011111 in binary and 169F in hexadecimal, which are helpful for computer science applications.
Is 5791 a perfect square, cube, or triangular number?
5791 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5791?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.