875
875 is a odd composite number that follows 874 and precedes 876. It is composed of 8 distinct factors: 1, 5, 7, 25, 35, 125, 175, 875. Its prime factorization can be written as 5^3 × 7. 875 is classified as a deficient number based on the sum of its proper divisors. In computer science, 875 is represented as 1101101011 in binary and 36B in hexadecimal. Historically, it is written as DCCCLXXV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (5^3 × 7) reveals 4 prime building blocks.
Divisible by 2
875 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 75 are not divisible by 4.
Divisible by 5
875 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
875 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 875 within several notable number theory sequences:
Timeline
Deep dive
How 875 breaks down
875 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 373, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101011 supports bitwise reasoning, hexadecimal 36B aligns with computing notation, and the Roman numeral DCCCLXXV keeps the encyclopedic tradition alive. These attributes make 875 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 875 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (870–880) to tune search ranges, and educators feature 875 in worksheets about factor trees. Its binary footprint of length 10 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 875 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 875
Is 875 a prime number?
875 is composite with 8 total factors and the prime factorization 5^3 × 7.
What is the prime factorization of 875?
It breaks down as 5^3 × 7, multiplying the primes 5 × 5 × 5 × 7.
How is 875 represented in binary and hexadecimal?
875 converts to 1101101011 in binary and 36B in hexadecimal, which are helpful for computer science applications.
Is 875 a perfect square, cube, or triangular number?
875 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 875?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.