2193
2193 is a odd composite number that follows 2192 and precedes 2194. It is composed of 8 distinct factors: 1, 3, 17, 43, 51, 129, 731, 2193. Its prime factorization can be written as 3 × 17 × 43. 2193 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2193 is represented as 100010010001 in binary and 891 in hexadecimal. Historically, it is written as MMCXCIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 17 × 43) reveals 3 prime building blocks.
Divisible by 2
2193 ends in 3, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
2193 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 15 is not a multiple of 9.
Divisible by 10
2193 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 2193 within several notable number theory sequences:
Timeline
Deep dive
How 2193 breaks down
2193 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 975, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010010001 supports bitwise reasoning, hexadecimal 891 aligns with computing notation, and the Roman numeral MMCXCIII keeps the encyclopedic tradition alive. These attributes make 2193 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2193 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2188–2198) to tune search ranges, and educators feature 2193 in worksheets about factor trees. Its binary footprint of length 12 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 2193 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 2193
Is 2193 a prime number?
2193 is composite with 8 total factors and the prime factorization 3 × 17 × 43.
What is the prime factorization of 2193?
It breaks down as 3 × 17 × 43, multiplying the primes 3 × 17 × 43.
How is 2193 represented in binary and hexadecimal?
2193 converts to 100010010001 in binary and 891 in hexadecimal, which are helpful for computer science applications.
Is 2193 a perfect square, cube, or triangular number?
2193 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2193?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.