1193
1193 is a odd prime number that follows 1192 and precedes 1194. As a prime number, 1193 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1193. 1193 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1193 is represented as 10010101001 in binary and 4A9 in hexadecimal. Historically, it is written as MCXCIII in Roman numerals.
Factor Analysis
2 FactorsProperties
1193 is prime, so its only factors are 1 and 1193.
Divisible by 2
1193 ends in 3, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
1193 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
1193 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 1193 within several notable number theory sequences:
Timeline
Deep dive
How 1193 breaks down
1193 carries 2 distinct factors and a digit signature of 14 (5 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 10010101001 supports bitwise reasoning, hexadecimal 4A9 aligns with computing notation, and the Roman numeral MCXCIII keeps the encyclopedic tradition alive. These attributes make 1193 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1193 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1188–1198) to tune search ranges, and educators feature 1193 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 1193 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 1193
Is 1193 a prime number?
1193 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1193?
1193 is already prime, so the factorization is simply 1193.
How is 1193 represented in binary and hexadecimal?
1193 converts to 10010101001 in binary and 4A9 in hexadecimal, which are helpful for computer science applications.
Is 1193 a perfect square, cube, or triangular number?
1193 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1193?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.