449
449 is a odd prime number that follows 448 and precedes 450. As a prime number, 449 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 449. 449 is classified as a deficient number based on the sum of its proper divisors. In computer science, 449 is represented as 111000001 in binary and 1C1 in hexadecimal. Historically, it is written as CDXLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
449 is prime, so its only factors are 1 and 449.
Divisible by 2
449 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
449 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
449 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 449 within several notable number theory sequences:
Timeline
Deep dive
How 449 breaks down
449 carries 2 distinct factors and a digit signature of 17 (8 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 111000001 supports bitwise reasoning, hexadecimal 1C1 aligns with computing notation, and the Roman numeral CDXLIX keeps the encyclopedic tradition alive. These attributes make 449 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 449 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (444–454) to tune search ranges, and educators feature 449 in worksheets about prime identification. Its binary footprint of length 9 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 449 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 449
Is 449 a prime number?
449 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 449?
449 is already prime, so the factorization is simply 449.
How is 449 represented in binary and hexadecimal?
449 converts to 111000001 in binary and 1C1 in hexadecimal, which are helpful for computer science applications.
Is 449 a perfect square, cube, or triangular number?
449 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 449?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.