3300
3300 is a even composite number that follows 3299 and precedes 3301. It is composed of 36 distinct factors: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. Its prime factorization can be written as 2^2 × 3 × 5^2 × 11. 3300 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3300 is represented as 110011100100 in binary and CE4 in hexadecimal. Historically, it is written as MMMCCC in Roman numerals.
Factor Analysis
36 FactorsProperties
The prime factorization (2^2 × 3 × 5^2 × 11) reveals 6 prime building blocks.
Divisible by 2
3300 ends in 0, so it is even.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
3300 ends in 0, so it is divisible by 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 6 is not a multiple of 9.
Divisible by 10
3300 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 3300 within several notable number theory sequences:
Timeline
Deep dive
How 3300 breaks down
3300 carries 36 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 7116, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110011100100 supports bitwise reasoning, hexadecimal CE4 aligns with computing notation, and the Roman numeral MMMCCC keeps the encyclopedic tradition alive. These attributes make 3300 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3300 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3295–3305) to tune search ranges, and educators feature 3300 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 3300 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 3300
Is 3300 a prime number?
3300 is composite with 36 total factors and the prime factorization 2^2 × 3 × 5^2 × 11.
What is the prime factorization of 3300?
It breaks down as 2^2 × 3 × 5^2 × 11, multiplying the primes 2 × 2 × 3 × 5 × 5 × 11.
How is 3300 represented in binary and hexadecimal?
3300 converts to 110011100100 in binary and CE4 in hexadecimal, which are helpful for computer science applications.
Is 3300 a perfect square, cube, or triangular number?
3300 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3300?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.