3009
3009 is a odd composite number that follows 3008 and precedes 3010. It is composed of 8 distinct factors: 1, 3, 17, 51, 59, 177, 1003, 3009. Its prime factorization can be written as 3 × 17 × 59. 3009 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3009 is represented as 101111000001 in binary and BC1 in hexadecimal. Historically, it is written as MMMIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 17 × 59) reveals 3 prime building blocks.
Divisible by 2
3009 ends in 9, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
3009 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 12 is not a multiple of 9.
Divisible by 10
3009 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 3009 within several notable number theory sequences:
Timeline
Deep dive
How 3009 breaks down
3009 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1311, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101111000001 supports bitwise reasoning, hexadecimal BC1 aligns with computing notation, and the Roman numeral MMMIX keeps the encyclopedic tradition alive. These attributes make 3009 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3009 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3004–3014) to tune search ranges, and educators feature 3009 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) help historians, numerologists, and trivia writers tie 3009 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 3009
Is 3009 a prime number?
3009 is composite with 8 total factors and the prime factorization 3 × 17 × 59.
What is the prime factorization of 3009?
It breaks down as 3 × 17 × 59, multiplying the primes 3 × 17 × 59.
How is 3009 represented in binary and hexadecimal?
3009 converts to 101111000001 in binary and BC1 in hexadecimal, which are helpful for computer science applications.
Is 3009 a perfect square, cube, or triangular number?
3009 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3009?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.