8175
8175 is a odd composite number that follows 8174 and precedes 8176. It is composed of 12 distinct factors: 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175. Its prime factorization can be written as 3 × 5^2 × 109. 8175 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8175 is represented as 1111111101111 in binary and 1FEF in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 5^2 × 109) reveals 4 prime building blocks.
Divisible by 2
8175 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
8175 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
8175 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 8175 within several notable number theory sequences:
Timeline
Deep dive
How 8175 breaks down
8175 carries 12 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 5465, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111111101111 supports bitwise reasoning, hexadecimal 1FEF aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8175 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8175 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8170–8180) to tune search ranges, and educators feature 8175 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 8175 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 8175
Is 8175 a prime number?
8175 is composite with 12 total factors and the prime factorization 3 × 5^2 × 109.
What is the prime factorization of 8175?
It breaks down as 3 × 5^2 × 109, multiplying the primes 3 × 5 × 5 × 109.
How is 8175 represented in binary and hexadecimal?
8175 converts to 1111111101111 in binary and 1FEF in hexadecimal, which are helpful for computer science applications.
Is 8175 a perfect square, cube, or triangular number?
8175 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8175?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.