5728
5728 is a even composite number that follows 5727 and precedes 5729. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728. Its prime factorization can be written as 2^5 × 179. 5728 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5728 is represented as 1011001100000 in binary and 1660 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 179) reveals 6 prime building blocks.
Divisible by 2
5728 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
5728 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 22 is not a multiple of 9.
Divisible by 10
5728 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 5728 within several notable number theory sequences:
Timeline
Deep dive
How 5728 breaks down
5728 carries 12 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 5612, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001100000 supports bitwise reasoning, hexadecimal 1660 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5728 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5728 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5723–5733) to tune search ranges, and educators feature 5728 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 5728 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 5728
Is 5728 a prime number?
5728 is composite with 12 total factors and the prime factorization 2^5 × 179.
What is the prime factorization of 5728?
It breaks down as 2^5 × 179, multiplying the primes 2 × 2 × 2 × 2 × 2 × 179.
How is 5728 represented in binary and hexadecimal?
5728 converts to 1011001100000 in binary and 1660 in hexadecimal, which are helpful for computer science applications.
Is 5728 a perfect square, cube, or triangular number?
5728 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5728?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.