330
330 is a even composite number that follows 329 and precedes 331. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. Its prime factorization can be written as 2 × 3 × 5 × 11. 330 is classified as a abundant number based on the sum of its proper divisors. In computer science, 330 is represented as 101001010 in binary and 14A in hexadecimal. Historically, it is written as CCCXXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 11) reveals 4 prime building blocks.
Divisible by 2
330 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 30 are not divisible by 4.
Divisible by 5
330 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
330 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 330 within several notable number theory sequences:
Timeline
Deep dive
How 330 breaks down
330 carries 16 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 534, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001010 supports bitwise reasoning, hexadecimal 14A aligns with computing notation, and the Roman numeral CCCXXX keeps the encyclopedic tradition alive. These attributes make 330 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 330 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (325–335) to tune search ranges, and educators feature 330 in worksheets about factor trees. Its binary footprint of length 9 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 330 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 330
Is 330 a prime number?
330 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 11.
What is the prime factorization of 330?
It breaks down as 2 × 3 × 5 × 11, multiplying the primes 2 × 3 × 5 × 11.
How is 330 represented in binary and hexadecimal?
330 converts to 101001010 in binary and 14A in hexadecimal, which are helpful for computer science applications.
Is 330 a perfect square, cube, or triangular number?
330 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 330?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.