1189
1189 is a odd composite number that follows 1188 and precedes 1190. It is composed of 4 distinct factors: 1, 29, 41, 1189. Its prime factorization can be written as 29 × 41. 1189 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1189 is represented as 10010100101 in binary and 4A5 in hexadecimal. Historically, it is written as MCLXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (29 × 41) reveals 2 prime building blocks.
Divisible by 2
1189 ends in 9, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
1189 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 19 is not a multiple of 9.
Divisible by 10
1189 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 1189 within several notable number theory sequences:
Timeline
Deep dive
How 1189 breaks down
1189 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 71, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010100101 supports bitwise reasoning, hexadecimal 4A5 aligns with computing notation, and the Roman numeral MCLXXXIX keeps the encyclopedic tradition alive. These attributes make 1189 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1189 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1184–1194) to tune search ranges, and educators feature 1189 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 1189 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 1189
Is 1189 a prime number?
1189 is composite with 4 total factors and the prime factorization 29 × 41.
What is the prime factorization of 1189?
It breaks down as 29 × 41, multiplying the primes 29 × 41.
How is 1189 represented in binary and hexadecimal?
1189 converts to 10010100101 in binary and 4A5 in hexadecimal, which are helpful for computer science applications.
Is 1189 a perfect square, cube, or triangular number?
1189 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1189?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.