3366
3366 is a even composite number that follows 3365 and precedes 3367. It is composed of 24 distinct factors: 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366. Its prime factorization can be written as 2 × 3^2 × 11 × 17. 3366 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3366 is represented as 110100100110 in binary and D26 in hexadecimal. Historically, it is written as MMMCCCLXVI in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3^2 × 11 × 17) reveals 5 prime building blocks.
Divisible by 2
3366 ends in 6, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 66 are not divisible by 4.
Divisible by 5
3366 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 18 is a multiple of 9.
Divisible by 10
3366 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 3366 within several notable number theory sequences:
Timeline
Deep dive
How 3366 breaks down
3366 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 5058, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100100110 supports bitwise reasoning, hexadecimal D26 aligns with computing notation, and the Roman numeral MMMCCCLXVI keeps the encyclopedic tradition alive. These attributes make 3366 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3366 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3361–3371) to tune search ranges, and educators feature 3366 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3366 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 3366
Is 3366 a prime number?
3366 is composite with 24 total factors and the prime factorization 2 × 3^2 × 11 × 17.
What is the prime factorization of 3366?
It breaks down as 2 × 3^2 × 11 × 17, multiplying the primes 2 × 3 × 3 × 11 × 17.
How is 3366 represented in binary and hexadecimal?
3366 converts to 110100100110 in binary and D26 in hexadecimal, which are helpful for computer science applications.
Is 3366 a perfect square, cube, or triangular number?
3366 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3366?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.