7093
7093 is a odd composite number that follows 7092 and precedes 7094. It is composed of 4 distinct factors: 1, 41, 173, 7093. Its prime factorization can be written as 41 × 173. 7093 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7093 is represented as 1101110110101 in binary and 1BB5 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (41 × 173) reveals 2 prime building blocks.
Divisible by 2
7093 ends in 3, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 93 are not divisible by 4.
Divisible by 5
7093 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 19 is not a multiple of 9.
Divisible by 10
7093 does not end in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 7093 within several notable number theory sequences:
Timeline
Deep dive
How 7093 breaks down
7093 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 215, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101110110101 supports bitwise reasoning, hexadecimal 1BB5 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7093 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7093 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7088–7098) to tune search ranges, and educators feature 7093 in worksheets about factor trees. Its binary footprint of length 13 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 7093 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 7093
Is 7093 a prime number?
7093 is composite with 4 total factors and the prime factorization 41 × 173.
What is the prime factorization of 7093?
It breaks down as 41 × 173, multiplying the primes 41 × 173.
How is 7093 represented in binary and hexadecimal?
7093 converts to 1101110110101 in binary and 1BB5 in hexadecimal, which are helpful for computer science applications.
Is 7093 a perfect square, cube, or triangular number?
7093 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7093?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.