329
329 is a odd composite number that follows 328 and precedes 330. It is composed of 4 distinct factors: 1, 7, 47, 329. Its prime factorization can be written as 7 × 47. 329 is classified as a deficient number based on the sum of its proper divisors. In computer science, 329 is represented as 101001001 in binary and 149 in hexadecimal. Historically, it is written as CCCXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 47) reveals 2 prime building blocks.
Divisible by 2
329 ends in 9, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
329 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 14 is not a multiple of 9.
Divisible by 10
329 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 329 within several notable number theory sequences:
Timeline
Deep dive
How 329 breaks down
329 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 55, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001001 supports bitwise reasoning, hexadecimal 149 aligns with computing notation, and the Roman numeral CCCXXIX keeps the encyclopedic tradition alive. These attributes make 329 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 329 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (324–334) to tune search ranges, and educators feature 329 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 329 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 329
Is 329 a prime number?
329 is composite with 4 total factors and the prime factorization 7 × 47.
What is the prime factorization of 329?
It breaks down as 7 × 47, multiplying the primes 7 × 47.
How is 329 represented in binary and hexadecimal?
329 converts to 101001001 in binary and 149 in hexadecimal, which are helpful for computer science applications.
Is 329 a perfect square, cube, or triangular number?
329 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 329?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.