3449
3449 is a odd prime number that follows 3448 and precedes 3450. As a prime number, 3449 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3449. 3449 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3449 is represented as 110101111001 in binary and D79 in hexadecimal. Historically, it is written as MMMCDXLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
3449 is prime, so its only factors are 1 and 3449.
Divisible by 2
3449 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
3449 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
3449 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 3449 within several notable number theory sequences:
Timeline
Deep dive
How 3449 breaks down
3449 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 110101111001 supports bitwise reasoning, hexadecimal D79 aligns with computing notation, and the Roman numeral MMMCDXLIX keeps the encyclopedic tradition alive. These attributes make 3449 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3449 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3444–3454) to tune search ranges, and educators feature 3449 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 3449 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 3449
Is 3449 a prime number?
3449 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3449?
3449 is already prime, so the factorization is simply 3449.
How is 3449 represented in binary and hexadecimal?
3449 converts to 110101111001 in binary and D79 in hexadecimal, which are helpful for computer science applications.
Is 3449 a perfect square, cube, or triangular number?
3449 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3449?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.