1110
1110 is a even composite number that follows 1109 and precedes 1111. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110. Its prime factorization can be written as 2 × 3 × 5 × 37. 1110 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1110 is represented as 10001010110 in binary and 456 in hexadecimal. Historically, it is written as MCX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 37) reveals 4 prime building blocks.
Divisible by 2
1110 ends in 0, so it is even.
Divisible by 3
The digit sum 3 is a multiple of 3.
Divisible by 4
The last two digits 10 are not divisible by 4.
Divisible by 5
1110 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 3 is not a multiple of 9.
Divisible by 10
1110 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 1110 within several notable number theory sequences:
Timeline
Deep dive
How 1110 breaks down
1110 carries 16 distinct factors and a digit signature of 3 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 1626, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001010110 supports bitwise reasoning, hexadecimal 456 aligns with computing notation, and the Roman numeral MCX keeps the encyclopedic tradition alive. These attributes make 1110 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1110 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1105–1115) to tune search ranges, and educators feature 1110 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, Abundant numbers) help historians, numerologists, and trivia writers tie 1110 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 1110
Is 1110 a prime number?
1110 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 37.
What is the prime factorization of 1110?
It breaks down as 2 × 3 × 5 × 37, multiplying the primes 2 × 3 × 5 × 37.
How is 1110 represented in binary and hexadecimal?
1110 converts to 10001010110 in binary and 456 in hexadecimal, which are helpful for computer science applications.
Is 1110 a perfect square, cube, or triangular number?
1110 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1110?
The digits sum to 3, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.