395
395 is a odd composite number that follows 394 and precedes 396. It is composed of 4 distinct factors: 1, 5, 79, 395. Its prime factorization can be written as 5 × 79. 395 is classified as a deficient number based on the sum of its proper divisors. In computer science, 395 is represented as 110001011 in binary and 18B in hexadecimal. Historically, it is written as CCCXCV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 79) reveals 2 prime building blocks.
Divisible by 2
395 ends in 5, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
395 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 17 is not a multiple of 9.
Divisible by 10
395 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 395 within several notable number theory sequences:
Timeline
Deep dive
How 395 breaks down
395 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 85, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001011 supports bitwise reasoning, hexadecimal 18B aligns with computing notation, and the Roman numeral CCCXCV keeps the encyclopedic tradition alive. These attributes make 395 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 395 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (390–400) to tune search ranges, and educators feature 395 in worksheets about factor trees. Its binary footprint of length 9 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 395 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 395
Is 395 a prime number?
395 is composite with 4 total factors and the prime factorization 5 × 79.
What is the prime factorization of 395?
It breaks down as 5 × 79, multiplying the primes 5 × 79.
How is 395 represented in binary and hexadecimal?
395 converts to 110001011 in binary and 18B in hexadecimal, which are helpful for computer science applications.
Is 395 a perfect square, cube, or triangular number?
395 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 395?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.