333
333 is a odd composite number that follows 332 and precedes 334. It is composed of 6 distinct factors: 1, 3, 9, 37, 111, 333. Its prime factorization can be written as 3^2 × 37. 333 is classified as a deficient number based on the sum of its proper divisors. In computer science, 333 is represented as 101001101 in binary and 14D in hexadecimal. Historically, it is written as CCCXXXIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 37) reveals 3 prime building blocks.
Divisible by 2
333 ends in 3, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 33 are not divisible by 4.
Divisible by 5
333 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
333 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 333 within several notable number theory sequences:
Timeline
Deep dive
How 333 breaks down
333 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 161, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001101 supports bitwise reasoning, hexadecimal 14D aligns with computing notation, and the Roman numeral CCCXXXIII keeps the encyclopedic tradition alive. These attributes make 333 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 333 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (328–338) to tune search ranges, and educators feature 333 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, Deficient numbers) help historians, numerologists, and trivia writers tie 333 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 333
Is 333 a prime number?
333 is composite with 6 total factors and the prime factorization 3^2 × 37.
What is the prime factorization of 333?
It breaks down as 3^2 × 37, multiplying the primes 3 × 3 × 37.
How is 333 represented in binary and hexadecimal?
333 converts to 101001101 in binary and 14D in hexadecimal, which are helpful for computer science applications.
Is 333 a perfect square, cube, or triangular number?
333 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 333?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.