328
328 is a even composite number that follows 327 and precedes 329. It is composed of 8 distinct factors: 1, 2, 4, 8, 41, 82, 164, 328. Its prime factorization can be written as 2^3 × 41. 328 is classified as a deficient number based on the sum of its proper divisors. In computer science, 328 is represented as 101001000 in binary and 148 in hexadecimal. Historically, it is written as CCCXXVIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 41) reveals 4 prime building blocks.
Divisible by 2
328 ends in 8, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
328 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 13 is not a multiple of 9.
Divisible by 10
328 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 328 within several notable number theory sequences:
Timeline
Deep dive
How 328 breaks down
328 carries 8 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 302, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001000 supports bitwise reasoning, hexadecimal 148 aligns with computing notation, and the Roman numeral CCCXXVIII keeps the encyclopedic tradition alive. These attributes make 328 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 328 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (323–333) to tune search ranges, and educators feature 328 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 328 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 328
Is 328 a prime number?
328 is composite with 8 total factors and the prime factorization 2^3 × 41.
What is the prime factorization of 328?
It breaks down as 2^3 × 41, multiplying the primes 2 × 2 × 2 × 41.
How is 328 represented in binary and hexadecimal?
328 converts to 101001000 in binary and 148 in hexadecimal, which are helpful for computer science applications.
Is 328 a perfect square, cube, or triangular number?
328 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 328?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.