1122
1122 is a even composite number that follows 1121 and precedes 1123. It is composed of 16 distinct factors: 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122. Its prime factorization can be written as 2 × 3 × 11 × 17. 1122 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1122 is represented as 10001100010 in binary and 462 in hexadecimal. Historically, it is written as MCXXII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 11 × 17) reveals 4 prime building blocks.
Divisible by 2
1122 ends in 2, so it is even.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
1122 does not end in 0 or 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 6 is not a multiple of 9.
Divisible by 10
1122 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 1122 within several notable number theory sequences:
Timeline
Deep dive
How 1122 breaks down
1122 carries 16 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1470, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100010 supports bitwise reasoning, hexadecimal 462 aligns with computing notation, and the Roman numeral MCXXII keeps the encyclopedic tradition alive. These attributes make 1122 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1122 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1117–1127) to tune search ranges, and educators feature 1122 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 1122 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 1122
Is 1122 a prime number?
1122 is composite with 16 total factors and the prime factorization 2 × 3 × 11 × 17.
What is the prime factorization of 1122?
It breaks down as 2 × 3 × 11 × 17, multiplying the primes 2 × 3 × 11 × 17.
How is 1122 represented in binary and hexadecimal?
1122 converts to 10001100010 in binary and 462 in hexadecimal, which are helpful for computer science applications.
Is 1122 a perfect square, cube, or triangular number?
1122 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1122?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.