1543
1543 is a odd prime number that follows 1542 and precedes 1544. As a prime number, 1543 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1543. 1543 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1543 is represented as 11000000111 in binary and 607 in hexadecimal. Historically, it is written as MDXLIII in Roman numerals.
Factor Analysis
2 FactorsProperties
1543 is prime, so its only factors are 1 and 1543.
Divisible by 2
1543 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 43 are not divisible by 4.
Divisible by 5
1543 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 13 is not a multiple of 9.
Divisible by 10
1543 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 1543 within several notable number theory sequences:
Timeline
Deep dive
How 1543 breaks down
1543 carries 2 distinct factors and a digit signature of 13 (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 11000000111 supports bitwise reasoning, hexadecimal 607 aligns with computing notation, and the Roman numeral MDXLIII keeps the encyclopedic tradition alive. These attributes make 1543 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1543 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1538–1548) to tune search ranges, and educators feature 1543 in worksheets about prime identification. Its binary footprint of length 11 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 1543 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 1543
Is 1543 a prime number?
1543 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1543?
1543 is already prime, so the factorization is simply 1543.
How is 1543 represented in binary and hexadecimal?
1543 converts to 11000000111 in binary and 607 in hexadecimal, which are helpful for computer science applications.
Is 1543 a perfect square, cube, or triangular number?
1543 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1543?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.