2549
2549 is a odd prime number that follows 2548 and precedes 2550. As a prime number, 2549 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2549. 2549 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2549 is represented as 100111110101 in binary and 9F5 in hexadecimal. Historically, it is written as MMDXLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
2549 is prime, so its only factors are 1 and 2549.
Divisible by 2
2549 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
2549 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 20 is not a multiple of 9.
Divisible by 10
2549 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 2549 within several notable number theory sequences:
Timeline
Deep dive
How 2549 breaks down
2549 carries 2 distinct factors and a digit signature of 20 (2 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 100111110101 supports bitwise reasoning, hexadecimal 9F5 aligns with computing notation, and the Roman numeral MMDXLIX keeps the encyclopedic tradition alive. These attributes make 2549 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2549 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2544–2554) to tune search ranges, and educators feature 2549 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 2549 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 2549
Is 2549 a prime number?
2549 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2549?
2549 is already prime, so the factorization is simply 2549.
How is 2549 represented in binary and hexadecimal?
2549 converts to 100111110101 in binary and 9F5 in hexadecimal, which are helpful for computer science applications.
Is 2549 a perfect square, cube, or triangular number?
2549 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2549?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.