2009
2009 is a odd composite number that follows 2008 and precedes 2010. It is composed of 6 distinct factors: 1, 7, 41, 49, 287, 2009. Its prime factorization can be written as 7^2 × 41. 2009 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2009 is represented as 11111011001 in binary and 7D9 in hexadecimal. Historically, it is written as MMIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (7^2 × 41) reveals 3 prime building blocks.
Divisible by 2
2009 ends in 9, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
2009 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 11 is not a multiple of 9.
Divisible by 10
2009 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 2009 within several notable number theory sequences:
Timeline
Deep dive
How 2009 breaks down
2009 carries 6 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 385, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111011001 supports bitwise reasoning, hexadecimal 7D9 aligns with computing notation, and the Roman numeral MMIX keeps the encyclopedic tradition alive. These attributes make 2009 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2009 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2004–2014) to tune search ranges, and educators feature 2009 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2009 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 2009
Is 2009 a prime number?
2009 is composite with 6 total factors and the prime factorization 7^2 × 41.
What is the prime factorization of 2009?
It breaks down as 7^2 × 41, multiplying the primes 7 × 7 × 41.
How is 2009 represented in binary and hexadecimal?
2009 converts to 11111011001 in binary and 7D9 in hexadecimal, which are helpful for computer science applications.
Is 2009 a perfect square, cube, or triangular number?
2009 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2009?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.