2214
2214 is a even composite number that follows 2213 and precedes 2215. It is composed of 16 distinct factors: 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214. Its prime factorization can be written as 2 × 3^3 × 41. 2214 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2214 is represented as 100010100110 in binary and 8A6 in hexadecimal. Historically, it is written as MMCCXIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3^3 × 41) reveals 5 prime building blocks.
Divisible by 2
2214 ends in 4, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 14 are not divisible by 4.
Divisible by 5
2214 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 9 is a multiple of 9.
Divisible by 10
2214 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 2214 within several notable number theory sequences:
Timeline
Deep dive
How 2214 breaks down
2214 carries 16 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 2826, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010100110 supports bitwise reasoning, hexadecimal 8A6 aligns with computing notation, and the Roman numeral MMCCXIV keeps the encyclopedic tradition alive. These attributes make 2214 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2214 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2209–2219) to tune search ranges, and educators feature 2214 in worksheets about factor trees. Its binary footprint of length 12 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 2214 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 2214
Is 2214 a prime number?
2214 is composite with 16 total factors and the prime factorization 2 × 3^3 × 41.
What is the prime factorization of 2214?
It breaks down as 2 × 3^3 × 41, multiplying the primes 2 × 3 × 3 × 3 × 41.
How is 2214 represented in binary and hexadecimal?
2214 converts to 100010100110 in binary and 8A6 in hexadecimal, which are helpful for computer science applications.
Is 2214 a perfect square, cube, or triangular number?
2214 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2214?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.