1249
1249 is a odd prime number that follows 1248 and precedes 1250. As a prime number, 1249 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1249. 1249 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1249 is represented as 10011100001 in binary and 4E1 in hexadecimal. Historically, it is written as MCCXLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
1249 is prime, so its only factors are 1 and 1249.
Divisible by 2
1249 ends in 9, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
1249 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
1249 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 1249 within several notable number theory sequences:
Timeline
Deep dive
How 1249 breaks down
1249 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 10011100001 supports bitwise reasoning, hexadecimal 4E1 aligns with computing notation, and the Roman numeral MCCXLIX keeps the encyclopedic tradition alive. These attributes make 1249 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1249 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1244–1254) to tune search ranges, and educators feature 1249 in worksheets about prime identification. Its binary footprint of length 11 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 1249 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 1249
Is 1249 a prime number?
1249 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1249?
1249 is already prime, so the factorization is simply 1249.
How is 1249 represented in binary and hexadecimal?
1249 converts to 10011100001 in binary and 4E1 in hexadecimal, which are helpful for computer science applications.
Is 1249 a perfect square, cube, or triangular number?
1249 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1249?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.