2591
2591 is a odd prime number that follows 2590 and precedes 2592. As a prime number, 2591 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2591. 2591 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2591 is represented as 101000011111 in binary and A1F in hexadecimal. Historically, it is written as MMDXCI in Roman numerals.
Factor Analysis
2 FactorsProperties
2591 is prime, so its only factors are 1 and 2591.
Divisible by 2
2591 ends in 1, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
2591 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 17 is not a multiple of 9.
Divisible by 10
2591 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 2591 within several notable number theory sequences:
Timeline
Deep dive
How 2591 breaks down
2591 carries 2 distinct factors and a digit signature of 17 (8 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 101000011111 supports bitwise reasoning, hexadecimal A1F aligns with computing notation, and the Roman numeral MMDXCI keeps the encyclopedic tradition alive. These attributes make 2591 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2591 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2586–2596) to tune search ranges, and educators feature 2591 in worksheets about prime identification. Its binary footprint of length 12 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 2591 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 2591
Is 2591 a prime number?
2591 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2591?
2591 is already prime, so the factorization is simply 2591.
How is 2591 represented in binary and hexadecimal?
2591 converts to 101000011111 in binary and A1F in hexadecimal, which are helpful for computer science applications.
Is 2591 a perfect square, cube, or triangular number?
2591 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2591?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.