175
175 is a odd composite number that follows 174 and precedes 176. It is composed of 6 distinct factors: 1, 5, 7, 25, 35, 175. Its prime factorization can be written as 5^2 × 7. 175 is classified as a deficient number based on the sum of its proper divisors. In computer science, 175 is represented as 10101111 in binary and AF in hexadecimal. Historically, it is written as CLXXV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 7) reveals 3 prime building blocks.
Divisible by 2
175 ends in 5, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
175 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 13 is not a multiple of 9.
Divisible by 10
175 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 175 within several notable number theory sequences:
Timeline
Deep dive
How 175 breaks down
175 carries 6 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 73, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101111 supports bitwise reasoning, hexadecimal AF aligns with computing notation, and the Roman numeral CLXXV keeps the encyclopedic tradition alive. These attributes make 175 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 175 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (170–180) to tune search ranges, and educators feature 175 in worksheets about factor trees. Its binary footprint of length 8 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 175 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 175
Is 175 a prime number?
175 is composite with 6 total factors and the prime factorization 5^2 × 7.
What is the prime factorization of 175?
It breaks down as 5^2 × 7, multiplying the primes 5 × 5 × 7.
How is 175 represented in binary and hexadecimal?
175 converts to 10101111 in binary and AF in hexadecimal, which are helpful for computer science applications.
Is 175 a perfect square, cube, or triangular number?
175 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 175?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.