2791
2791 is a odd prime number that follows 2790 and precedes 2792. As a prime number, 2791 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2791. 2791 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2791 is represented as 101011100111 in binary and AE7 in hexadecimal. Historically, it is written as MMDCCXCI in Roman numerals.
Factor Analysis
2 FactorsProperties
2791 is prime, so its only factors are 1 and 2791.
Divisible by 2
2791 ends in 1, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 91 are not divisible by 4.
Divisible by 5
2791 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
2791 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 2791 within several notable number theory sequences:
Timeline
Deep dive
How 2791 breaks down
2791 carries 2 distinct factors and a digit signature of 19 (1 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 101011100111 supports bitwise reasoning, hexadecimal AE7 aligns with computing notation, and the Roman numeral MMDCCXCI keeps the encyclopedic tradition alive. These attributes make 2791 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2791 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2786–2796) to tune search ranges, and educators feature 2791 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 2791 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 2791
Is 2791 a prime number?
2791 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2791?
2791 is already prime, so the factorization is simply 2791.
How is 2791 represented in binary and hexadecimal?
2791 converts to 101011100111 in binary and AE7 in hexadecimal, which are helpful for computer science applications.
Is 2791 a perfect square, cube, or triangular number?
2791 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2791?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.