195
195 is a odd composite number that follows 194 and precedes 196. It is composed of 8 distinct factors: 1, 3, 5, 13, 15, 39, 65, 195. Its prime factorization can be written as 3 × 5 × 13. 195 is classified as a deficient number based on the sum of its proper divisors. In computer science, 195 is represented as 11000011 in binary and C3 in hexadecimal. Historically, it is written as CXCV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 5 × 13) reveals 3 prime building blocks.
Divisible by 2
195 ends in 5, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
195 ends in 5, 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 15 is not a multiple of 9.
Divisible by 10
195 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 195 within several notable number theory sequences:
Timeline
Deep dive
How 195 breaks down
195 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 141, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11000011 supports bitwise reasoning, hexadecimal C3 aligns with computing notation, and the Roman numeral CXCV keeps the encyclopedic tradition alive. These attributes make 195 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 195 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (190–200) to tune search ranges, and educators feature 195 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 195 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 195
Is 195 a prime number?
195 is composite with 8 total factors and the prime factorization 3 × 5 × 13.
What is the prime factorization of 195?
It breaks down as 3 × 5 × 13, multiplying the primes 3 × 5 × 13.
How is 195 represented in binary and hexadecimal?
195 converts to 11000011 in binary and C3 in hexadecimal, which are helpful for computer science applications.
Is 195 a perfect square, cube, or triangular number?
195 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 195?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.