7168
7168 is a even composite number that follows 7167 and precedes 7169. It is composed of 22 distinct factors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168. Its prime factorization can be written as 2^10 × 7. 7168 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7168 is represented as 1110000000000 in binary and 1C00 in hexadecimal.
Factor Analysis
22 FactorsProperties
The prime factorization (2^10 × 7) reveals 11 prime building blocks.
Divisible by 2
7168 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
7168 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
7168 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 7168 within several notable number theory sequences:
Timeline
Deep dive
How 7168 breaks down
7168 carries 22 distinct factors and a digit signature of 22 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 9208, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110000000000 supports bitwise reasoning, hexadecimal 1C00 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7168 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7168 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7163–7173) to tune search ranges, and educators feature 7168 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, Abundant numbers) help historians, numerologists, and trivia writers tie 7168 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 7168
Is 7168 a prime number?
7168 is composite with 22 total factors and the prime factorization 2^10 × 7.
What is the prime factorization of 7168?
It breaks down as 2^10 × 7, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7.
How is 7168 represented in binary and hexadecimal?
7168 converts to 1110000000000 in binary and 1C00 in hexadecimal, which are helpful for computer science applications.
Is 7168 a perfect square, cube, or triangular number?
7168 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7168?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.