1194
1194 is a even composite number that follows 1193 and precedes 1195. It is composed of 8 distinct factors: 1, 2, 3, 6, 199, 398, 597, 1194. Its prime factorization can be written as 2 × 3 × 199. 1194 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1194 is represented as 10010101010 in binary and 4AA in hexadecimal. Historically, it is written as MCXCIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 199) reveals 3 prime building blocks.
Divisible by 2
1194 ends in 4, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 94 are not divisible by 4.
Divisible by 5
1194 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 15 is not a multiple of 9.
Divisible by 10
1194 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 1194 within several notable number theory sequences:
Timeline
Deep dive
How 1194 breaks down
1194 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1206, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010101010 supports bitwise reasoning, hexadecimal 4AA aligns with computing notation, and the Roman numeral MCXCIV keeps the encyclopedic tradition alive. These attributes make 1194 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1194 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1189–1199) to tune search ranges, and educators feature 1194 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 1194 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 1194
Is 1194 a prime number?
1194 is composite with 8 total factors and the prime factorization 2 × 3 × 199.
What is the prime factorization of 1194?
It breaks down as 2 × 3 × 199, multiplying the primes 2 × 3 × 199.
How is 1194 represented in binary and hexadecimal?
1194 converts to 10010101010 in binary and 4AA in hexadecimal, which are helpful for computer science applications.
Is 1194 a perfect square, cube, or triangular number?
1194 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1194?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.