1139
1139 is a odd composite number that follows 1138 and precedes 1140. It is composed of 4 distinct factors: 1, 17, 67, 1139. Its prime factorization can be written as 17 × 67. 1139 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1139 is represented as 10001110011 in binary and 473 in hexadecimal. Historically, it is written as MCXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 67) reveals 2 prime building blocks.
Divisible by 2
1139 ends in 9, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
1139 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
1139 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 1139 within several notable number theory sequences:
Timeline
Deep dive
How 1139 breaks down
1139 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 85, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001110011 supports bitwise reasoning, hexadecimal 473 aligns with computing notation, and the Roman numeral MCXXXIX keeps the encyclopedic tradition alive. These attributes make 1139 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1139 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1134–1144) to tune search ranges, and educators feature 1139 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 1139 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 1139
Is 1139 a prime number?
1139 is composite with 4 total factors and the prime factorization 17 × 67.
What is the prime factorization of 1139?
It breaks down as 17 × 67, multiplying the primes 17 × 67.
How is 1139 represented in binary and hexadecimal?
1139 converts to 10001110011 in binary and 473 in hexadecimal, which are helpful for computer science applications.
Is 1139 a perfect square, cube, or triangular number?
1139 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1139?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.