4928
4928 is a even composite number that follows 4927 and precedes 4929. It is composed of 28 distinct factors: 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928. Its prime factorization can be written as 2^6 × 7 × 11. 4928 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4928 is represented as 1001101000000 in binary and 1340 in hexadecimal.
Factor Analysis
28 FactorsProperties
The prime factorization (2^6 × 7 × 11) reveals 8 prime building blocks.
Divisible by 2
4928 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
4928 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 23 is not a multiple of 9.
Divisible by 10
4928 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Abundant classification and digit analytics place 4928 within several notable number theory sequences:
Timeline
Deep dive
How 4928 breaks down
4928 carries 28 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 7264, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001101000000 supports bitwise reasoning, hexadecimal 1340 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4928 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4928 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4923–4933) to tune search ranges, and educators feature 4928 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 4928 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 4928
Is 4928 a prime number?
4928 is composite with 28 total factors and the prime factorization 2^6 × 7 × 11.
What is the prime factorization of 4928?
It breaks down as 2^6 × 7 × 11, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11.
How is 4928 represented in binary and hexadecimal?
4928 converts to 1001101000000 in binary and 1340 in hexadecimal, which are helpful for computer science applications.
Is 4928 a perfect square, cube, or triangular number?
4928 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4928?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.