2209
2209 is a odd composite number that follows 2208 and precedes 2210. It is composed of 3 distinct factors: 1, 47, 2209. Its prime factorization can be written as 47^2. 2209 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2209 is represented as 100010100001 in binary and 8A1 in hexadecimal. Historically, it is written as MMCCIX in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
3 FactorsProperties
The prime factorization (47^2) reveals 2 prime building blocks.
Divisible by 2
2209 ends in 9, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
2209 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 13 is not a multiple of 9.
Divisible by 10
2209 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 2209 within several notable number theory sequences:
Timeline
Deep dive
How 2209 breaks down
2209 carries 3 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 48, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010100001 supports bitwise reasoning, hexadecimal 8A1 aligns with computing notation, and the Roman numeral MMCCIX keeps the encyclopedic tradition alive. These attributes make 2209 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2209 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2204–2214) to tune search ranges, and educators feature 2209 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, Perfect squares) help historians, numerologists, and trivia writers tie 2209 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 2209
Is 2209 a prime number?
2209 is composite with 3 total factors and the prime factorization 47^2.
What is the prime factorization of 2209?
It breaks down as 47^2, multiplying the primes 47 × 47.
How is 2209 represented in binary and hexadecimal?
2209 converts to 100010100001 in binary and 8A1 in hexadecimal, which are helpful for computer science applications.
Is 2209 a perfect square, cube, or triangular number?
2209 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2209?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.