3375
3375 is a odd composite number that follows 3374 and precedes 3376. It is composed of 16 distinct factors: 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375. Its prime factorization can be written as 3^3 × 5^3. 3375 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3375 is represented as 110100101111 in binary and D2F in hexadecimal. Historically, it is written as MMMCCCLXXV in Roman numerals. It also belongs to the perfect cube sequence.
Factor Analysis
16 FactorsProperties
The prime factorization (3^3 × 5^3) reveals 6 prime building blocks.
Divisible by 2
3375 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
3375 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 18 is a multiple of 9.
Divisible by 10
3375 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 3375 within several notable number theory sequences:
Timeline
Deep dive
How 3375 breaks down
3375 carries 16 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2865, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100101111 supports bitwise reasoning, hexadecimal D2F aligns with computing notation, and the Roman numeral MMMCCCLXXV keeps the encyclopedic tradition alive. These attributes make 3375 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3375 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3370–3380) to tune search ranges, and educators feature 3375 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Perfect cubes) help historians, numerologists, and trivia writers tie 3375 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 3375
Is 3375 a prime number?
3375 is composite with 16 total factors and the prime factorization 3^3 × 5^3.
What is the prime factorization of 3375?
It breaks down as 3^3 × 5^3, multiplying the primes 3 × 3 × 3 × 5 × 5 × 5.
How is 3375 represented in binary and hexadecimal?
3375 converts to 110100101111 in binary and D2F in hexadecimal, which are helpful for computer science applications.
Is 3375 a perfect square, cube, or triangular number?
3375 is not a perfect square, is a perfect cube, and is not triangular.
What are the digit sum and digital root of 3375?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.