3395
3395 is a odd composite number that follows 3394 and precedes 3396. It is composed of 8 distinct factors: 1, 5, 7, 35, 97, 485, 679, 3395. Its prime factorization can be written as 5 × 7 × 97. 3395 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3395 is represented as 110101000011 in binary and D43 in hexadecimal. Historically, it is written as MMMCCCXCV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (5 × 7 × 97) reveals 3 prime building blocks.
Divisible by 2
3395 ends in 5, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
3395 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 20 is not a multiple of 9.
Divisible by 10
3395 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 3395 within several notable number theory sequences:
Timeline
Deep dive
How 3395 breaks down
3395 carries 8 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1309, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101000011 supports bitwise reasoning, hexadecimal D43 aligns with computing notation, and the Roman numeral MMMCCCXCV keeps the encyclopedic tradition alive. These attributes make 3395 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3395 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3390–3400) to tune search ranges, and educators feature 3395 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 3395 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 3395
Is 3395 a prime number?
3395 is composite with 8 total factors and the prime factorization 5 × 7 × 97.
What is the prime factorization of 3395?
It breaks down as 5 × 7 × 97, multiplying the primes 5 × 7 × 97.
How is 3395 represented in binary and hexadecimal?
3395 converts to 110101000011 in binary and D43 in hexadecimal, which are helpful for computer science applications.
Is 3395 a perfect square, cube, or triangular number?
3395 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3395?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.