2543
2543 is a odd prime number that follows 2542 and precedes 2544. As a prime number, 2543 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2543. 2543 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2543 is represented as 100111101111 in binary and 9EF in hexadecimal. Historically, it is written as MMDXLIII in Roman numerals.
Factor Analysis
2 FactorsProperties
2543 is prime, so its only factors are 1 and 2543.
Divisible by 2
2543 ends in 3, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
2543 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
2543 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 2543 within several notable number theory sequences:
Timeline
Deep dive
How 2543 breaks down
2543 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 100111101111 supports bitwise reasoning, hexadecimal 9EF aligns with computing notation, and the Roman numeral MMDXLIII keeps the encyclopedic tradition alive. These attributes make 2543 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2543 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2538–2548) to tune search ranges, and educators feature 2543 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 2543 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 2543
Is 2543 a prime number?
2543 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2543?
2543 is already prime, so the factorization is simply 2543.
How is 2543 represented in binary and hexadecimal?
2543 converts to 100111101111 in binary and 9EF in hexadecimal, which are helpful for computer science applications.
Is 2543 a perfect square, cube, or triangular number?
2543 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2543?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.