2741
2741 is a odd prime number that follows 2740 and precedes 2742. As a prime number, 2741 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2741. 2741 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2741 is represented as 101010110101 in binary and AB5 in hexadecimal. Historically, it is written as MMDCCXLI in Roman numerals.
Factor Analysis
2 FactorsProperties
2741 is prime, so its only factors are 1 and 2741.
Divisible by 2
2741 ends in 1, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
2741 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 14 is not a multiple of 9.
Divisible by 10
2741 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 2741 within several notable number theory sequences:
Timeline
Deep dive
How 2741 breaks down
2741 carries 2 distinct factors and a digit signature of 14 (5 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 101010110101 supports bitwise reasoning, hexadecimal AB5 aligns with computing notation, and the Roman numeral MMDCCXLI keeps the encyclopedic tradition alive. These attributes make 2741 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2741 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2736–2746) to tune search ranges, and educators feature 2741 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 2741 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 2741
Is 2741 a prime number?
2741 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2741?
2741 is already prime, so the factorization is simply 2741.
How is 2741 represented in binary and hexadecimal?
2741 converts to 101010110101 in binary and AB5 in hexadecimal, which are helpful for computer science applications.
Is 2741 a perfect square, cube, or triangular number?
2741 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2741?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.