1179
1179 is a odd composite number that follows 1178 and precedes 1180. It is composed of 6 distinct factors: 1, 3, 9, 131, 393, 1179. Its prime factorization can be written as 3^2 × 131. 1179 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1179 is represented as 10010011011 in binary and 49B in hexadecimal. Historically, it is written as MCLXXIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 131) reveals 3 prime building blocks.
Divisible by 2
1179 ends in 9, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
1179 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 18 is a multiple of 9.
Divisible by 10
1179 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 1179 within several notable number theory sequences:
Timeline
Deep dive
How 1179 breaks down
1179 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 537, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010011011 supports bitwise reasoning, hexadecimal 49B aligns with computing notation, and the Roman numeral MCLXXIX keeps the encyclopedic tradition alive. These attributes make 1179 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1179 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1174–1184) to tune search ranges, and educators feature 1179 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 1179 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 1179
Is 1179 a prime number?
1179 is composite with 6 total factors and the prime factorization 3^2 × 131.
What is the prime factorization of 1179?
It breaks down as 3^2 × 131, multiplying the primes 3 × 3 × 131.
How is 1179 represented in binary and hexadecimal?
1179 converts to 10010011011 in binary and 49B in hexadecimal, which are helpful for computer science applications.
Is 1179 a perfect square, cube, or triangular number?
1179 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1179?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.