3330
3330 is a even composite number that follows 3329 and precedes 3331. It is composed of 24 distinct factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330. Its prime factorization can be written as 2 × 3^2 × 5 × 37. 3330 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3330 is represented as 110100000010 in binary and D02 in hexadecimal. Historically, it is written as MMMCCCXXX in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3^2 × 5 × 37) reveals 5 prime building blocks.
Divisible by 2
3330 ends in 0, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 30 are not divisible by 4.
Divisible by 5
3330 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 9 is a multiple of 9.
Divisible by 10
3330 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 3330 within several notable number theory sequences:
Timeline
Deep dive
How 3330 breaks down
3330 carries 24 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 5562, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100000010 supports bitwise reasoning, hexadecimal D02 aligns with computing notation, and the Roman numeral MMMCCCXXX keeps the encyclopedic tradition alive. These attributes make 3330 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3330 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3325–3335) to tune search ranges, and educators feature 3330 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 3330 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 3330
Is 3330 a prime number?
3330 is composite with 24 total factors and the prime factorization 2 × 3^2 × 5 × 37.
What is the prime factorization of 3330?
It breaks down as 2 × 3^2 × 5 × 37, multiplying the primes 2 × 3 × 3 × 5 × 37.
How is 3330 represented in binary and hexadecimal?
3330 converts to 110100000010 in binary and D02 in hexadecimal, which are helpful for computer science applications.
Is 3330 a perfect square, cube, or triangular number?
3330 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3330?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.