8928
8928 is a even composite number that follows 8927 and precedes 8929. It is composed of 36 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 72, 93, 96, 124, 144, 186, 248, 279, 288, 372, 496, 558, 744, 992, 1116, 1488, 2232, 2976, 4464, 8928. Its prime factorization can be written as 2^5 × 3^2 × 31. 8928 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8928 is represented as 10001011100000 in binary and 22E0 in hexadecimal.
Factor Analysis
36 FactorsProperties
The prime factorization (2^5 × 3^2 × 31) reveals 8 prime building blocks.
Divisible by 2
8928 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
8928 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 27 is a multiple of 9.
Divisible by 10
8928 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 8928 within several notable number theory sequences:
Timeline
Deep dive
How 8928 breaks down
8928 carries 36 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 17280, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001011100000 supports bitwise reasoning, hexadecimal 22E0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8928 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8928 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8923–8933) to tune search ranges, and educators feature 8928 in worksheets about factor trees. Its binary footprint of length 14 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 8928 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 8928
Is 8928 a prime number?
8928 is composite with 36 total factors and the prime factorization 2^5 × 3^2 × 31.
What is the prime factorization of 8928?
It breaks down as 2^5 × 3^2 × 31, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3 × 3 × 31.
How is 8928 represented in binary and hexadecimal?
8928 converts to 10001011100000 in binary and 22E0 in hexadecimal, which are helpful for computer science applications.
Is 8928 a perfect square, cube, or triangular number?
8928 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8928?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.