249
249 is a odd composite number that follows 248 and precedes 250. It is composed of 4 distinct factors: 1, 3, 83, 249. Its prime factorization can be written as 3 × 83. 249 is classified as a deficient number based on the sum of its proper divisors. In computer science, 249 is represented as 11111001 in binary and F9 in hexadecimal. Historically, it is written as CCXLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 83) reveals 2 prime building blocks.
Divisible by 2
249 ends in 9, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
249 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 15 is not a multiple of 9.
Divisible by 10
249 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 249 within several notable number theory sequences:
Timeline
Deep dive
How 249 breaks down
249 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 87, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111001 supports bitwise reasoning, hexadecimal F9 aligns with computing notation, and the Roman numeral CCXLIX keeps the encyclopedic tradition alive. These attributes make 249 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 249 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (244–254) to tune search ranges, and educators feature 249 in worksheets about factor trees. Its binary footprint of length 8 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 249 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 249
Is 249 a prime number?
249 is composite with 4 total factors and the prime factorization 3 × 83.
What is the prime factorization of 249?
It breaks down as 3 × 83, multiplying the primes 3 × 83.
How is 249 represented in binary and hexadecimal?
249 converts to 11111001 in binary and F9 in hexadecimal, which are helpful for computer science applications.
Is 249 a perfect square, cube, or triangular number?
249 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 249?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.