549
549 is a odd composite number that follows 548 and precedes 550. It is composed of 6 distinct factors: 1, 3, 9, 61, 183, 549. Its prime factorization can be written as 3^2 × 61. 549 is classified as a deficient number based on the sum of its proper divisors. In computer science, 549 is represented as 1000100101 in binary and 225 in hexadecimal. Historically, it is written as DXLIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 61) reveals 3 prime building blocks.
Divisible by 2
549 ends in 9, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
549 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 18 is a multiple of 9.
Divisible by 10
549 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 549 within several notable number theory sequences:
Timeline
Deep dive
How 549 breaks down
549 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 257, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100101 supports bitwise reasoning, hexadecimal 225 aligns with computing notation, and the Roman numeral DXLIX keeps the encyclopedic tradition alive. These attributes make 549 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 549 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (544–554) to tune search ranges, and educators feature 549 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 549 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 549
Is 549 a prime number?
549 is composite with 6 total factors and the prime factorization 3^2 × 61.
What is the prime factorization of 549?
It breaks down as 3^2 × 61, multiplying the primes 3 × 3 × 61.
How is 549 represented in binary and hexadecimal?
549 converts to 1000100101 in binary and 225 in hexadecimal, which are helpful for computer science applications.
Is 549 a perfect square, cube, or triangular number?
549 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 549?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.