1148
1148 is a even composite number that follows 1147 and precedes 1149. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574, 1148. Its prime factorization can be written as 2^2 × 7 × 41. 1148 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1148 is represented as 10001111100 in binary and 47C in hexadecimal. Historically, it is written as MCXLVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 41) reveals 4 prime building blocks.
Divisible by 2
1148 ends in 8, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
1148 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 14 is not a multiple of 9.
Divisible by 10
1148 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Abundant classification and digit analytics place 1148 within several notable number theory sequences:
Timeline
Deep dive
How 1148 breaks down
1148 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 1204, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001111100 supports bitwise reasoning, hexadecimal 47C aligns with computing notation, and the Roman numeral MCXLVIII keeps the encyclopedic tradition alive. These attributes make 1148 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1148 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1143–1153) to tune search ranges, and educators feature 1148 in worksheets about factor trees. Its binary footprint of length 11 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 1148 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 1148
Is 1148 a prime number?
1148 is composite with 12 total factors and the prime factorization 2^2 × 7 × 41.
What is the prime factorization of 1148?
It breaks down as 2^2 × 7 × 41, multiplying the primes 2 × 2 × 7 × 41.
How is 1148 represented in binary and hexadecimal?
1148 converts to 10001111100 in binary and 47C in hexadecimal, which are helpful for computer science applications.
Is 1148 a perfect square, cube, or triangular number?
1148 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1148?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.