6006
6006 is a even composite number that follows 6005 and precedes 6007. It is composed of 32 distinct factors: 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006. Its prime factorization can be written as 2 × 3 × 7 × 11 × 13. 6006 is classified as a abundant number based on the sum of its proper divisors. In computer science, 6006 is represented as 1011101110110 in binary and 1776 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2 × 3 × 7 × 11 × 13) reveals 5 prime building blocks.
Divisible by 2
6006 ends in 6, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 06 are not divisible by 4.
Divisible by 5
6006 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
6006 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 6006 within several notable number theory sequences:
Timeline
Deep dive
How 6006 breaks down
6006 carries 32 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 10122, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011101110110 supports bitwise reasoning, hexadecimal 1776 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6006 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6006 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6001–6011) to tune search ranges, and educators feature 6006 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, Abundant numbers) help historians, numerologists, and trivia writers tie 6006 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 6006
Is 6006 a prime number?
6006 is composite with 32 total factors and the prime factorization 2 × 3 × 7 × 11 × 13.
What is the prime factorization of 6006?
It breaks down as 2 × 3 × 7 × 11 × 13, multiplying the primes 2 × 3 × 7 × 11 × 13.
How is 6006 represented in binary and hexadecimal?
6006 converts to 1011101110110 in binary and 1776 in hexadecimal, which are helpful for computer science applications.
Is 6006 a perfect square, cube, or triangular number?
6006 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6006?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.