218
218 is a even composite number that follows 217 and precedes 219. It is composed of 4 distinct factors: 1, 2, 109, 218. Its prime factorization can be written as 2 × 109. 218 is classified as a deficient number based on the sum of its proper divisors. In computer science, 218 is represented as 11011010 in binary and DA in hexadecimal. Historically, it is written as CCXVIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 109) reveals 2 prime building blocks.
Divisible by 2
218 ends in 8, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 18 are not divisible by 4.
Divisible by 5
218 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 11 is not a multiple of 9.
Divisible by 10
218 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 218 within several notable number theory sequences:
Timeline
Deep dive
How 218 breaks down
218 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 112, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11011010 supports bitwise reasoning, hexadecimal DA aligns with computing notation, and the Roman numeral CCXVIII keeps the encyclopedic tradition alive. These attributes make 218 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 218 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (213–223) to tune search ranges, and educators feature 218 in worksheets about factor trees. Its binary footprint of length 8 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 218 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 218
Is 218 a prime number?
218 is composite with 4 total factors and the prime factorization 2 × 109.
What is the prime factorization of 218?
It breaks down as 2 × 109, multiplying the primes 2 × 109.
How is 218 represented in binary and hexadecimal?
218 converts to 11011010 in binary and DA in hexadecimal, which are helpful for computer science applications.
Is 218 a perfect square, cube, or triangular number?
218 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 218?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.