375
375 is a odd composite number that follows 374 and precedes 376. It is composed of 8 distinct factors: 1, 3, 5, 15, 25, 75, 125, 375. Its prime factorization can be written as 3 × 5^3. 375 is classified as a deficient number based on the sum of its proper divisors. In computer science, 375 is represented as 101110111 in binary and 177 in hexadecimal. Historically, it is written as CCCLXXV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 5^3) reveals 4 prime building blocks.
Divisible by 2
375 ends in 5, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
375 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 15 is not a multiple of 9.
Divisible by 10
375 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 375 within several notable number theory sequences:
Timeline
Deep dive
How 375 breaks down
375 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 249, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110111 supports bitwise reasoning, hexadecimal 177 aligns with computing notation, and the Roman numeral CCCLXXV keeps the encyclopedic tradition alive. These attributes make 375 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 375 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (370–380) to tune search ranges, and educators feature 375 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 375 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 375
Is 375 a prime number?
375 is composite with 8 total factors and the prime factorization 3 × 5^3.
What is the prime factorization of 375?
It breaks down as 3 × 5^3, multiplying the primes 3 × 5 × 5 × 5.
How is 375 represented in binary and hexadecimal?
375 converts to 101110111 in binary and 177 in hexadecimal, which are helpful for computer science applications.
Is 375 a perfect square, cube, or triangular number?
375 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 375?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.