4235
4235 is a odd composite number that follows 4234 and precedes 4236. It is composed of 12 distinct factors: 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235. Its prime factorization can be written as 5 × 7 × 11^2. 4235 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4235 is represented as 1000010001011 in binary and 108B in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (5 × 7 × 11^2) reveals 4 prime building blocks.
Divisible by 2
4235 ends in 5, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 35 are not divisible by 4.
Divisible by 5
4235 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 14 is not a multiple of 9.
Divisible by 10
4235 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 4235 within several notable number theory sequences:
Timeline
Deep dive
How 4235 breaks down
4235 carries 12 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 2149, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010001011 supports bitwise reasoning, hexadecimal 108B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4235 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4235 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4230–4240) to tune search ranges, and educators feature 4235 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 4235 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 4235
Is 4235 a prime number?
4235 is composite with 12 total factors and the prime factorization 5 × 7 × 11^2.
What is the prime factorization of 4235?
It breaks down as 5 × 7 × 11^2, multiplying the primes 5 × 7 × 11 × 11.
How is 4235 represented in binary and hexadecimal?
4235 converts to 1000010001011 in binary and 108B in hexadecimal, which are helpful for computer science applications.
Is 4235 a perfect square, cube, or triangular number?
4235 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4235?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.