928
928 is a even composite number that follows 927 and precedes 929. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. Its prime factorization can be written as 2^5 × 29. 928 is classified as a abundant number based on the sum of its proper divisors. In computer science, 928 is represented as 1110100000 in binary and 3A0 in hexadecimal. Historically, it is written as CMXXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 29) reveals 6 prime building blocks.
Divisible by 2
928 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
928 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 19 is not a multiple of 9.
Divisible by 10
928 does not end in 0.
Divisible by 11
The alternating digit sum 15 is not a multiple of 11.
Abundant classification and digit analytics place 928 within several notable number theory sequences:
Timeline
Deep dive
How 928 breaks down
928 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 962, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110100000 supports bitwise reasoning, hexadecimal 3A0 aligns with computing notation, and the Roman numeral CMXXVIII keeps the encyclopedic tradition alive. These attributes make 928 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 928 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (923–933) to tune search ranges, and educators feature 928 in worksheets about factor trees. Its binary footprint of length 10 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 928 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 928
Is 928 a prime number?
928 is composite with 12 total factors and the prime factorization 2^5 × 29.
What is the prime factorization of 928?
It breaks down as 2^5 × 29, multiplying the primes 2 × 2 × 2 × 2 × 2 × 29.
How is 928 represented in binary and hexadecimal?
928 converts to 1110100000 in binary and 3A0 in hexadecimal, which are helpful for computer science applications.
Is 928 a perfect square, cube, or triangular number?
928 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 928?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.