547
547 is a odd prime number that follows 546 and precedes 548. As a prime number, 547 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 547. 547 is classified as a deficient number based on the sum of its proper divisors. In computer science, 547 is represented as 1000100011 in binary and 223 in hexadecimal. Historically, it is written as DXLVII in Roman numerals.
Factor Analysis
2 FactorsProperties
547 is prime, so its only factors are 1 and 547.
Divisible by 2
547 ends in 7, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
547 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 16 is not a multiple of 9.
Divisible by 10
547 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 547 within several notable number theory sequences:
Timeline
Deep dive
How 547 breaks down
547 carries 2 distinct factors and a digit signature of 16 (7 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 1000100011 supports bitwise reasoning, hexadecimal 223 aligns with computing notation, and the Roman numeral DXLVII keeps the encyclopedic tradition alive. These attributes make 547 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 547 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (542–552) to tune search ranges, and educators feature 547 in worksheets about prime identification. Its binary footprint of length 10 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 547 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 547
Is 547 a prime number?
547 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 547?
547 is already prime, so the factorization is simply 547.
How is 547 represented in binary and hexadecimal?
547 converts to 1000100011 in binary and 223 in hexadecimal, which are helpful for computer science applications.
Is 547 a perfect square, cube, or triangular number?
547 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 547?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.