2213
2213 is a odd prime number that follows 2212 and precedes 2214. As a prime number, 2213 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2213. 2213 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2213 is represented as 100010100101 in binary and 8A5 in hexadecimal. Historically, it is written as MMCCXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
2213 is prime, so its only factors are 1 and 2213.
Divisible by 2
2213 ends in 3, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
2213 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 8 is not a multiple of 9.
Divisible by 10
2213 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 2213 within several notable number theory sequences:
Timeline
Deep dive
How 2213 breaks down
2213 carries 2 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010100101 supports bitwise reasoning, hexadecimal 8A5 aligns with computing notation, and the Roman numeral MMCCXIII keeps the encyclopedic tradition alive. These attributes make 2213 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2213 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2208–2218) to tune search ranges, and educators feature 2213 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2213 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 2213
Is 2213 a prime number?
2213 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2213?
2213 is already prime, so the factorization is simply 2213.
How is 2213 represented in binary and hexadecimal?
2213 converts to 100010100101 in binary and 8A5 in hexadecimal, which are helpful for computer science applications.
Is 2213 a perfect square, cube, or triangular number?
2213 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2213?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.