1163
1163 is a odd prime number that follows 1162 and precedes 1164. As a prime number, 1163 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1163. 1163 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1163 is represented as 10010001011 in binary and 48B in hexadecimal. Historically, it is written as MCLXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
1163 is prime, so its only factors are 1 and 1163.
Divisible by 2
1163 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
1163 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 11 is not a multiple of 9.
Divisible by 10
1163 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 1163 within several notable number theory sequences:
Timeline
Deep dive
How 1163 breaks down
1163 carries 2 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010001011 supports bitwise reasoning, hexadecimal 48B aligns with computing notation, and the Roman numeral MCLXIII keeps the encyclopedic tradition alive. These attributes make 1163 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1163 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1158–1168) to tune search ranges, and educators feature 1163 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1163 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 1163
Is 1163 a prime number?
1163 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1163?
1163 is already prime, so the factorization is simply 1163.
How is 1163 represented in binary and hexadecimal?
1163 converts to 10010001011 in binary and 48B in hexadecimal, which are helpful for computer science applications.
Is 1163 a perfect square, cube, or triangular number?
1163 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1163?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.