6118
6118 is a even composite number that follows 6117 and precedes 6119. It is composed of 16 distinct factors: 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118. Its prime factorization can be written as 2 × 7 × 19 × 23. 6118 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6118 is represented as 1011111100110 in binary and 17E6 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 7 × 19 × 23) reveals 4 prime building blocks.
Divisible by 2
6118 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 18 are not divisible by 4.
Divisible by 5
6118 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 16 is not a multiple of 9.
Divisible by 10
6118 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 6118 within several notable number theory sequences:
Timeline
Deep dive
How 6118 breaks down
6118 carries 16 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 5402, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011111100110 supports bitwise reasoning, hexadecimal 17E6 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6118 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6118 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6113–6123) to tune search ranges, and educators feature 6118 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 6118 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 6118
Is 6118 a prime number?
6118 is composite with 16 total factors and the prime factorization 2 × 7 × 19 × 23.
What is the prime factorization of 6118?
It breaks down as 2 × 7 × 19 × 23, multiplying the primes 2 × 7 × 19 × 23.
How is 6118 represented in binary and hexadecimal?
6118 converts to 1011111100110 in binary and 17E6 in hexadecimal, which are helpful for computer science applications.
Is 6118 a perfect square, cube, or triangular number?
6118 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6118?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.