1147
1147 is a odd composite number that follows 1146 and precedes 1148. It is composed of 4 distinct factors: 1, 31, 37, 1147. Its prime factorization can be written as 31 × 37. 1147 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1147 is represented as 10001111011 in binary and 47B in hexadecimal. Historically, it is written as MCXLVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 37) reveals 2 prime building blocks.
Divisible by 2
1147 ends in 7, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
1147 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 13 is not a multiple of 9.
Divisible by 10
1147 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 1147 within several notable number theory sequences:
Timeline
Deep dive
How 1147 breaks down
1147 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 69, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001111011 supports bitwise reasoning, hexadecimal 47B aligns with computing notation, and the Roman numeral MCXLVII keeps the encyclopedic tradition alive. These attributes make 1147 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1147 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1142–1152) to tune search ranges, and educators feature 1147 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 1147 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 1147
Is 1147 a prime number?
1147 is composite with 4 total factors and the prime factorization 31 × 37.
What is the prime factorization of 1147?
It breaks down as 31 × 37, multiplying the primes 31 × 37.
How is 1147 represented in binary and hexadecimal?
1147 converts to 10001111011 in binary and 47B in hexadecimal, which are helpful for computer science applications.
Is 1147 a perfect square, cube, or triangular number?
1147 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1147?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.