3195
3195 is a odd composite number that follows 3194 and precedes 3196. It is composed of 12 distinct factors: 1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195. Its prime factorization can be written as 3^2 × 5 × 71. 3195 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3195 is represented as 110001111011 in binary and C7B in hexadecimal. Historically, it is written as MMMCXCV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 5 × 71) reveals 4 prime building blocks.
Divisible by 2
3195 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
3195 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 18 is a multiple of 9.
Divisible by 10
3195 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 3195 within several notable number theory sequences:
Timeline
Deep dive
How 3195 breaks down
3195 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2421, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001111011 supports bitwise reasoning, hexadecimal C7B aligns with computing notation, and the Roman numeral MMMCXCV keeps the encyclopedic tradition alive. These attributes make 3195 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3195 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3190–3200) to tune search ranges, and educators feature 3195 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, Deficient numbers) help historians, numerologists, and trivia writers tie 3195 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 3195
Is 3195 a prime number?
3195 is composite with 12 total factors and the prime factorization 3^2 × 5 × 71.
What is the prime factorization of 3195?
It breaks down as 3^2 × 5 × 71, multiplying the primes 3 × 3 × 5 × 71.
How is 3195 represented in binary and hexadecimal?
3195 converts to 110001111011 in binary and C7B in hexadecimal, which are helpful for computer science applications.
Is 3195 a perfect square, cube, or triangular number?
3195 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3195?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.