6009
6009 is a odd composite number that follows 6008 and precedes 6010. It is composed of 4 distinct factors: 1, 3, 2003, 6009. Its prime factorization can be written as 3 × 2003. 6009 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6009 is represented as 1011101111001 in binary and 1779 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 2003) reveals 2 prime building blocks.
Divisible by 2
6009 ends in 9, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
6009 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 15 is not a multiple of 9.
Divisible by 10
6009 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 6009 within several notable number theory sequences:
Timeline
Deep dive
How 6009 breaks down
6009 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 2007, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011101111001 supports bitwise reasoning, hexadecimal 1779 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6009 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6009 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6004–6014) to tune search ranges, and educators feature 6009 in worksheets about factor trees. Its binary footprint of length 13 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 6009 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 6009
Is 6009 a prime number?
6009 is composite with 4 total factors and the prime factorization 3 × 2003.
What is the prime factorization of 6009?
It breaks down as 3 × 2003, multiplying the primes 3 × 2003.
How is 6009 represented in binary and hexadecimal?
6009 converts to 1011101111001 in binary and 1779 in hexadecimal, which are helpful for computer science applications.
Is 6009 a perfect square, cube, or triangular number?
6009 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6009?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.