7328
7328 is a even composite number that follows 7327 and precedes 7329. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328. Its prime factorization can be written as 2^5 × 229. 7328 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7328 is represented as 1110010100000 in binary and 1CA0 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 229) reveals 6 prime building blocks.
Divisible by 2
7328 ends in 8, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
7328 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 20 is not a multiple of 9.
Divisible by 10
7328 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 7328 within several notable number theory sequences:
Timeline
Deep dive
How 7328 breaks down
7328 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 7162, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110010100000 supports bitwise reasoning, hexadecimal 1CA0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7328 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7328 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7323–7333) to tune search ranges, and educators feature 7328 in worksheets about factor trees. Its binary footprint of length 13 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 7328 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 7328
Is 7328 a prime number?
7328 is composite with 12 total factors and the prime factorization 2^5 × 229.
What is the prime factorization of 7328?
It breaks down as 2^5 × 229, multiplying the primes 2 × 2 × 2 × 2 × 2 × 229.
How is 7328 represented in binary and hexadecimal?
7328 converts to 1110010100000 in binary and 1CA0 in hexadecimal, which are helpful for computer science applications.
Is 7328 a perfect square, cube, or triangular number?
7328 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7328?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.