230
230 is a even composite number that follows 229 and precedes 231. It is composed of 8 distinct factors: 1, 2, 5, 10, 23, 46, 115, 230. Its prime factorization can be written as 2 × 5 × 23. 230 is classified as a deficient number based on the sum of its proper divisors. In computer science, 230 is represented as 11100110 in binary and E6 in hexadecimal. Historically, it is written as CCXXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 23) reveals 3 prime building blocks.
Divisible by 2
230 ends in 0, so it is even.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 30 are not divisible by 4.
Divisible by 5
230 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 5 is not a multiple of 9.
Divisible by 10
230 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 230 within several notable number theory sequences:
Timeline
Deep dive
How 230 breaks down
230 carries 8 distinct factors and a digit signature of 5 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 202, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11100110 supports bitwise reasoning, hexadecimal E6 aligns with computing notation, and the Roman numeral CCXXX keeps the encyclopedic tradition alive. These attributes make 230 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 230 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (225–235) to tune search ranges, and educators feature 230 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 230 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 230
Is 230 a prime number?
230 is composite with 8 total factors and the prime factorization 2 × 5 × 23.
What is the prime factorization of 230?
It breaks down as 2 × 5 × 23, multiplying the primes 2 × 5 × 23.
How is 230 represented in binary and hexadecimal?
230 converts to 11100110 in binary and E6 in hexadecimal, which are helpful for computer science applications.
Is 230 a perfect square, cube, or triangular number?
230 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 230?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.