2249
2249 is a odd composite number that follows 2248 and precedes 2250. It is composed of 4 distinct factors: 1, 13, 173, 2249. Its prime factorization can be written as 13 × 173. 2249 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2249 is represented as 100011001001 in binary and 8C9 in hexadecimal. Historically, it is written as MMCCXLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 173) reveals 2 prime building blocks.
Divisible by 2
2249 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
2249 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 17 is not a multiple of 9.
Divisible by 10
2249 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 2249 within several notable number theory sequences:
Timeline
Deep dive
How 2249 breaks down
2249 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 187, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100011001001 supports bitwise reasoning, hexadecimal 8C9 aligns with computing notation, and the Roman numeral MMCCXLIX keeps the encyclopedic tradition alive. These attributes make 2249 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2249 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2244–2254) to tune search ranges, and educators feature 2249 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2249 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 2249
Is 2249 a prime number?
2249 is composite with 4 total factors and the prime factorization 13 × 173.
What is the prime factorization of 2249?
It breaks down as 13 × 173, multiplying the primes 13 × 173.
How is 2249 represented in binary and hexadecimal?
2249 converts to 100011001001 in binary and 8C9 in hexadecimal, which are helpful for computer science applications.
Is 2249 a perfect square, cube, or triangular number?
2249 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2249?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.