2093
2093 is a odd composite number that follows 2092 and precedes 2094. It is composed of 8 distinct factors: 1, 7, 13, 23, 91, 161, 299, 2093. Its prime factorization can be written as 7 × 13 × 23. 2093 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2093 is represented as 100000101101 in binary and 82D in hexadecimal. Historically, it is written as MMXCIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (7 × 13 × 23) reveals 3 prime building blocks.
Divisible by 2
2093 ends in 3, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
2093 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 14 is not a multiple of 9.
Divisible by 10
2093 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 2093 within several notable number theory sequences:
Timeline
Deep dive
How 2093 breaks down
2093 carries 8 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 595, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100000101101 supports bitwise reasoning, hexadecimal 82D aligns with computing notation, and the Roman numeral MMXCIII keeps the encyclopedic tradition alive. These attributes make 2093 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2093 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2088–2098) to tune search ranges, and educators feature 2093 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 2093 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 2093
Is 2093 a prime number?
2093 is composite with 8 total factors and the prime factorization 7 × 13 × 23.
What is the prime factorization of 2093?
It breaks down as 7 × 13 × 23, multiplying the primes 7 × 13 × 23.
How is 2093 represented in binary and hexadecimal?
2093 converts to 100000101101 in binary and 82D in hexadecimal, which are helpful for computer science applications.
Is 2093 a perfect square, cube, or triangular number?
2093 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2093?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.