1133
1133 is a odd composite number that follows 1132 and precedes 1134. It is composed of 4 distinct factors: 1, 11, 103, 1133. Its prime factorization can be written as 11 × 103. 1133 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1133 is represented as 10001101101 in binary and 46D in hexadecimal. Historically, it is written as MCXXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 103) reveals 2 prime building blocks.
Divisible by 2
1133 ends in 3, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 33 are not divisible by 4.
Divisible by 5
1133 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 8 is not a multiple of 9.
Divisible by 10
1133 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 1133 within several notable number theory sequences:
Timeline
Deep dive
How 1133 breaks down
1133 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 115, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001101101 supports bitwise reasoning, hexadecimal 46D aligns with computing notation, and the Roman numeral MCXXXIII keeps the encyclopedic tradition alive. These attributes make 1133 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1133 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1128–1138) to tune search ranges, and educators feature 1133 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, Deficient numbers) help historians, numerologists, and trivia writers tie 1133 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 1133
Is 1133 a prime number?
1133 is composite with 4 total factors and the prime factorization 11 × 103.
What is the prime factorization of 1133?
It breaks down as 11 × 103, multiplying the primes 11 × 103.
How is 1133 represented in binary and hexadecimal?
1133 converts to 10001101101 in binary and 46D in hexadecimal, which are helpful for computer science applications.
Is 1133 a perfect square, cube, or triangular number?
1133 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1133?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.