5928
5928 is a even composite number that follows 5927 and precedes 5929. It is composed of 32 distinct factors: 1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928. Its prime factorization can be written as 2^3 × 3 × 13 × 19. 5928 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5928 is represented as 1011100101000 in binary and 1728 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 3 × 13 × 19) reveals 6 prime building blocks.
Divisible by 2
5928 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
5928 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 24 is not a multiple of 9.
Divisible by 10
5928 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Abundant classification and digit analytics place 5928 within several notable number theory sequences:
Timeline
Deep dive
How 5928 breaks down
5928 carries 32 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 10872, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011100101000 supports bitwise reasoning, hexadecimal 1728 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5928 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5928 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5923–5933) to tune search ranges, and educators feature 5928 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, Abundant numbers) help historians, numerologists, and trivia writers tie 5928 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 5928
Is 5928 a prime number?
5928 is composite with 32 total factors and the prime factorization 2^3 × 3 × 13 × 19.
What is the prime factorization of 5928?
It breaks down as 2^3 × 3 × 13 × 19, multiplying the primes 2 × 2 × 2 × 3 × 13 × 19.
How is 5928 represented in binary and hexadecimal?
5928 converts to 1011100101000 in binary and 1728 in hexadecimal, which are helpful for computer science applications.
Is 5928 a perfect square, cube, or triangular number?
5928 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5928?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.