214
214 is a even composite number that follows 213 and precedes 215. It is composed of 4 distinct factors: 1, 2, 107, 214. Its prime factorization can be written as 2 × 107. 214 is classified as a deficient number based on the sum of its proper divisors. In computer science, 214 is represented as 11010110 in binary and D6 in hexadecimal. Historically, it is written as CCXIV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 107) reveals 2 prime building blocks.
Divisible by 2
214 ends in 4, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 14 are not divisible by 4.
Divisible by 5
214 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 7 is not a multiple of 9.
Divisible by 10
214 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 214 within several notable number theory sequences:
Timeline
Deep dive
How 214 breaks down
214 carries 4 distinct factors and a digit signature of 7 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 110, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010110 supports bitwise reasoning, hexadecimal D6 aligns with computing notation, and the Roman numeral CCXIV keeps the encyclopedic tradition alive. These attributes make 214 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 214 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (209–219) to tune search ranges, and educators feature 214 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 214 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 214
Is 214 a prime number?
214 is composite with 4 total factors and the prime factorization 2 × 107.
What is the prime factorization of 214?
It breaks down as 2 × 107, multiplying the primes 2 × 107.
How is 214 represented in binary and hexadecimal?
214 converts to 11010110 in binary and D6 in hexadecimal, which are helpful for computer science applications.
Is 214 a perfect square, cube, or triangular number?
214 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 214?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.