1121
1121 is a odd composite number that follows 1120 and precedes 1122. It is composed of 4 distinct factors: 1, 19, 59, 1121. Its prime factorization can be written as 19 × 59. 1121 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1121 is represented as 10001100001 in binary and 461 in hexadecimal. Historically, it is written as MCXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 59) reveals 2 prime building blocks.
Divisible by 2
1121 ends in 1, so it is odd.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
1121 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 5 is not a multiple of 9.
Divisible by 10
1121 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 1121 within several notable number theory sequences:
Timeline
Deep dive
How 1121 breaks down
1121 carries 4 distinct factors and a digit signature of 5 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 79, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001100001 supports bitwise reasoning, hexadecimal 461 aligns with computing notation, and the Roman numeral MCXXI keeps the encyclopedic tradition alive. These attributes make 1121 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1121 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1116–1126) to tune search ranges, and educators feature 1121 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 1121 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 1121
Is 1121 a prime number?
1121 is composite with 4 total factors and the prime factorization 19 × 59.
What is the prime factorization of 1121?
It breaks down as 19 × 59, multiplying the primes 19 × 59.
How is 1121 represented in binary and hexadecimal?
1121 converts to 10001100001 in binary and 461 in hexadecimal, which are helpful for computer science applications.
Is 1121 a perfect square, cube, or triangular number?
1121 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1121?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.