5748
5748 is a even composite number that follows 5747 and precedes 5749. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748. Its prime factorization can be written as 2^2 × 3 × 479. 5748 is classified as a abundant number based on the sum of its proper divisors. In computer science, 5748 is represented as 1011001110100 in binary and 1674 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 479) reveals 4 prime building blocks.
Divisible by 2
5748 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 48 form a multiple of 4.
Divisible by 5
5748 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
5748 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 5748 within several notable number theory sequences:
Timeline
Deep dive
How 5748 breaks down
5748 carries 12 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 7692, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001110100 supports bitwise reasoning, hexadecimal 1674 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5748 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5748 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5743–5753) to tune search ranges, and educators feature 5748 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 5748 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 5748
Is 5748 a prime number?
5748 is composite with 12 total factors and the prime factorization 2^2 × 3 × 479.
What is the prime factorization of 5748?
It breaks down as 2^2 × 3 × 479, multiplying the primes 2 × 2 × 3 × 479.
How is 5748 represented in binary and hexadecimal?
5748 converts to 1011001110100 in binary and 1674 in hexadecimal, which are helpful for computer science applications.
Is 5748 a perfect square, cube, or triangular number?
5748 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5748?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.