327
327 is a odd composite number that follows 326 and precedes 328. It is composed of 4 distinct factors: 1, 3, 109, 327. Its prime factorization can be written as 3 × 109. 327 is classified as a deficient number based on the sum of its proper divisors. In computer science, 327 is represented as 101000111 in binary and 147 in hexadecimal. Historically, it is written as CCCXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 109) reveals 2 prime building blocks.
Divisible by 2
327 ends in 7, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 27 are not divisible by 4.
Divisible by 5
327 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 12 is not a multiple of 9.
Divisible by 10
327 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 327 within several notable number theory sequences:
Timeline
Deep dive
How 327 breaks down
327 carries 4 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 113, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000111 supports bitwise reasoning, hexadecimal 147 aligns with computing notation, and the Roman numeral CCCXXVII keeps the encyclopedic tradition alive. These attributes make 327 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 327 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (322–332) to tune search ranges, and educators feature 327 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 327 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 327
Is 327 a prime number?
327 is composite with 4 total factors and the prime factorization 3 × 109.
What is the prime factorization of 327?
It breaks down as 3 × 109, multiplying the primes 3 × 109.
How is 327 represented in binary and hexadecimal?
327 converts to 101000111 in binary and 147 in hexadecimal, which are helpful for computer science applications.
Is 327 a perfect square, cube, or triangular number?
327 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 327?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.