4675
4675 is a odd composite number that follows 4674 and precedes 4676. It is composed of 12 distinct factors: 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675. Its prime factorization can be written as 5^2 × 11 × 17. 4675 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4675 is represented as 1001001000011 in binary and 1243 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (5^2 × 11 × 17) reveals 4 prime building blocks.
Divisible by 2
4675 ends in 5, so it is odd.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 75 are not divisible by 4.
Divisible by 5
4675 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 22 is not a multiple of 9.
Divisible by 10
4675 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 4675 within several notable number theory sequences:
Timeline
Deep dive
How 4675 breaks down
4675 carries 12 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 2021, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001000011 supports bitwise reasoning, hexadecimal 1243 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4675 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4675 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4670–4680) to tune search ranges, and educators feature 4675 in worksheets about factor trees. Its binary footprint of length 13 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 4675 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 4675
Is 4675 a prime number?
4675 is composite with 12 total factors and the prime factorization 5^2 × 11 × 17.
What is the prime factorization of 4675?
It breaks down as 5^2 × 11 × 17, multiplying the primes 5 × 5 × 11 × 17.
How is 4675 represented in binary and hexadecimal?
4675 converts to 1001001000011 in binary and 1243 in hexadecimal, which are helpful for computer science applications.
Is 4675 a perfect square, cube, or triangular number?
4675 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4675?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.