1107
1107 is a odd composite number that follows 1106 and precedes 1108. It is composed of 8 distinct factors: 1, 3, 9, 27, 41, 123, 369, 1107. Its prime factorization can be written as 3^3 × 41. 1107 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1107 is represented as 10001010011 in binary and 453 in hexadecimal. Historically, it is written as MCVII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3^3 × 41) reveals 4 prime building blocks.
Divisible by 2
1107 ends in 7, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
1107 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 9 is a multiple of 9.
Divisible by 10
1107 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 1107 within several notable number theory sequences:
Timeline
Deep dive
How 1107 breaks down
1107 carries 8 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 573, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001010011 supports bitwise reasoning, hexadecimal 453 aligns with computing notation, and the Roman numeral MCVII keeps the encyclopedic tradition alive. These attributes make 1107 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1107 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1102–1112) to tune search ranges, and educators feature 1107 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 1107 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 1107
Is 1107 a prime number?
1107 is composite with 8 total factors and the prime factorization 3^3 × 41.
What is the prime factorization of 1107?
It breaks down as 3^3 × 41, multiplying the primes 3 × 3 × 3 × 41.
How is 1107 represented in binary and hexadecimal?
1107 converts to 10001010011 in binary and 453 in hexadecimal, which are helpful for computer science applications.
Is 1107 a perfect square, cube, or triangular number?
1107 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1107?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.