1196
1196 is a even composite number that follows 1195 and precedes 1197. It is composed of 12 distinct factors: 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196. Its prime factorization can be written as 2^2 × 13 × 23. 1196 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1196 is represented as 10010101100 in binary and 4AC in hexadecimal. Historically, it is written as MCXCVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 23) reveals 4 prime building blocks.
Divisible by 2
1196 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
1196 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 17 is not a multiple of 9.
Divisible by 10
1196 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 1196 within several notable number theory sequences:
Timeline
Deep dive
How 1196 breaks down
1196 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1156, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010101100 supports bitwise reasoning, hexadecimal 4AC aligns with computing notation, and the Roman numeral MCXCVI keeps the encyclopedic tradition alive. These attributes make 1196 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1196 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1191–1201) to tune search ranges, and educators feature 1196 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 1196 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 1196
Is 1196 a prime number?
1196 is composite with 12 total factors and the prime factorization 2^2 × 13 × 23.
What is the prime factorization of 1196?
It breaks down as 2^2 × 13 × 23, multiplying the primes 2 × 2 × 13 × 23.
How is 1196 represented in binary and hexadecimal?
1196 converts to 10010101100 in binary and 4AC in hexadecimal, which are helpful for computer science applications.
Is 1196 a perfect square, cube, or triangular number?
1196 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1196?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.