8118
8118 is a even composite number that follows 8117 and precedes 8119. It is composed of 24 distinct factors: 1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118. Its prime factorization can be written as 2 × 3^2 × 11 × 41. 8118 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8118 is represented as 1111110110110 in binary and 1FB6 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2 × 3^2 × 11 × 41) reveals 5 prime building blocks.
Divisible by 2
8118 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 18 are not divisible by 4.
Divisible by 5
8118 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
8118 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 8118 within several notable number theory sequences:
Timeline
Deep dive
How 8118 breaks down
8118 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 11538, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111110110110 supports bitwise reasoning, hexadecimal 1FB6 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8118 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8118 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8113–8123) to tune search ranges, and educators feature 8118 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 8118 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 8118
Is 8118 a prime number?
8118 is composite with 24 total factors and the prime factorization 2 × 3^2 × 11 × 41.
What is the prime factorization of 8118?
It breaks down as 2 × 3^2 × 11 × 41, multiplying the primes 2 × 3 × 3 × 11 × 41.
How is 8118 represented in binary and hexadecimal?
8118 converts to 1111110110110 in binary and 1FB6 in hexadecimal, which are helpful for computer science applications.
Is 8118 a perfect square, cube, or triangular number?
8118 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8118?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.