3675
3675 is a odd composite number that follows 3674 and precedes 3676. It is composed of 18 distinct factors: 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675. Its prime factorization can be written as 3 × 5^2 × 7^2. 3675 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3675 is represented as 111001011011 in binary and E5B in hexadecimal. Historically, it is written as MMMDCLXXV in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (3 × 5^2 × 7^2) reveals 5 prime building blocks.
Divisible by 2
3675 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
3675 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
3675 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 3675 within several notable number theory sequences:
Timeline
Deep dive
How 3675 breaks down
3675 carries 18 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 3393, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001011011 supports bitwise reasoning, hexadecimal E5B aligns with computing notation, and the Roman numeral MMMDCLXXV keeps the encyclopedic tradition alive. These attributes make 3675 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3675 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3670–3680) to tune search ranges, and educators feature 3675 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) help historians, numerologists, and trivia writers tie 3675 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 3675
Is 3675 a prime number?
3675 is composite with 18 total factors and the prime factorization 3 × 5^2 × 7^2.
What is the prime factorization of 3675?
It breaks down as 3 × 5^2 × 7^2, multiplying the primes 3 × 5 × 5 × 7 × 7.
How is 3675 represented in binary and hexadecimal?
3675 converts to 111001011011 in binary and E5B in hexadecimal, which are helpful for computer science applications.
Is 3675 a perfect square, cube, or triangular number?
3675 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3675?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.