6375
6375 is a odd composite number that follows 6374 and precedes 6376. It is composed of 16 distinct factors: 1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375. Its prime factorization can be written as 3 × 5^3 × 17. 6375 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6375 is represented as 1100011100111 in binary and 18E7 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 5^3 × 17) reveals 5 prime building blocks.
Divisible by 2
6375 ends in 5, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
6375 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 21 is not a multiple of 9.
Divisible by 10
6375 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 6375 within several notable number theory sequences:
Timeline
Deep dive
How 6375 breaks down
6375 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 4857, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100011100111 supports bitwise reasoning, hexadecimal 18E7 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6375 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6375 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6370–6380) to tune search ranges, and educators feature 6375 in worksheets about factor trees. Its binary footprint of length 13 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 6375 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 6375
Is 6375 a prime number?
6375 is composite with 16 total factors and the prime factorization 3 × 5^3 × 17.
What is the prime factorization of 6375?
It breaks down as 3 × 5^3 × 17, multiplying the primes 3 × 5 × 5 × 5 × 17.
How is 6375 represented in binary and hexadecimal?
6375 converts to 1100011100111 in binary and 18E7 in hexadecimal, which are helpful for computer science applications.
Is 6375 a perfect square, cube, or triangular number?
6375 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6375?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.