11748
11748 is a even composite number that follows 11747 and precedes 11749. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 89, 132, 178, 267, 356, 534, 979, 1068, 1958, 2937, 3916, 5874, 11748. Its prime factorization can be written as 2^2 × 3 × 11 × 89. 11748 is classified as a abundant number based on the sum of its proper divisors. In computer science, 11748 is represented as 10110111100100 in binary and 2DE4 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 11 × 89) reveals 5 prime building blocks.
Divisible by 2
11748 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
11748 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 21 is not a multiple of 9.
Divisible by 10
11748 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 11748 within several notable number theory sequences:
Timeline
Deep dive
How 11748 breaks down
11748 carries 24 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 18492, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110111100100 supports bitwise reasoning, hexadecimal 2DE4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 11748 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 11748 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (11743–11753) to tune search ranges, and educators feature 11748 in worksheets about factor trees. Its binary footprint of length 14 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 11748 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 11748
Is 11748 a prime number?
11748 is composite with 24 total factors and the prime factorization 2^2 × 3 × 11 × 89.
What is the prime factorization of 11748?
It breaks down as 2^2 × 3 × 11 × 89, multiplying the primes 2 × 2 × 3 × 11 × 89.
How is 11748 represented in binary and hexadecimal?
11748 converts to 10110111100100 in binary and 2DE4 in hexadecimal, which are helpful for computer science applications.
Is 11748 a perfect square, cube, or triangular number?
11748 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 11748?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.