223
223 is a odd prime number that follows 222 and precedes 224. As a prime number, 223 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 223. 223 is classified as a deficient number based on the sum of its proper divisors. In computer science, 223 is represented as 11011111 in binary and DF in hexadecimal. Historically, it is written as CCXXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
223 is prime, so its only factors are 1 and 223.
Divisible by 2
223 ends in 3, so it is odd.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 23 are not divisible by 4.
Divisible by 5
223 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
223 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 223 within several notable number theory sequences:
Timeline
Deep dive
How 223 breaks down
223 carries 2 distinct factors and a digit signature of 7 (7 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 11011111 supports bitwise reasoning, hexadecimal DF aligns with computing notation, and the Roman numeral CCXXIII keeps the encyclopedic tradition alive. These attributes make 223 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 223 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (218–228) to tune search ranges, and educators feature 223 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 223 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 223
Is 223 a prime number?
223 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 223?
223 is already prime, so the factorization is simply 223.
How is 223 represented in binary and hexadecimal?
223 converts to 11011111 in binary and DF in hexadecimal, which are helpful for computer science applications.
Is 223 a perfect square, cube, or triangular number?
223 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 223?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.