7096
7096 is a even composite number that follows 7095 and precedes 7097. It is composed of 8 distinct factors: 1, 2, 4, 8, 887, 1774, 3548, 7096. Its prime factorization can be written as 2^3 × 887. 7096 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7096 is represented as 1101110111000 in binary and 1BB8 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 887) reveals 4 prime building blocks.
Divisible by 2
7096 ends in 6, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 96 form a multiple of 4.
Divisible by 5
7096 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 22 is not a multiple of 9.
Divisible by 10
7096 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 7096 within several notable number theory sequences:
Timeline
Deep dive
How 7096 breaks down
7096 carries 8 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 6224, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101110111000 supports bitwise reasoning, hexadecimal 1BB8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7096 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7096 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7091–7101) to tune search ranges, and educators feature 7096 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 7096 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 7096
Is 7096 a prime number?
7096 is composite with 8 total factors and the prime factorization 2^3 × 887.
What is the prime factorization of 7096?
It breaks down as 2^3 × 887, multiplying the primes 2 × 2 × 2 × 887.
How is 7096 represented in binary and hexadecimal?
7096 converts to 1101110111000 in binary and 1BB8 in hexadecimal, which are helpful for computer science applications.
Is 7096 a perfect square, cube, or triangular number?
7096 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7096?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.