3435
3435 is a odd composite number that follows 3434 and precedes 3436. It is composed of 8 distinct factors: 1, 3, 5, 15, 229, 687, 1145, 3435. Its prime factorization can be written as 3 × 5 × 229. 3435 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3435 is represented as 110101101011 in binary and D6B in hexadecimal. Historically, it is written as MMMCDXXXV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 5 × 229) reveals 3 prime building blocks.
Divisible by 2
3435 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 35 are not divisible by 4.
Divisible by 5
3435 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
3435 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 3435 within several notable number theory sequences:
Timeline
Deep dive
How 3435 breaks down
3435 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 2085, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101101011 supports bitwise reasoning, hexadecimal D6B aligns with computing notation, and the Roman numeral MMMCDXXXV keeps the encyclopedic tradition alive. These attributes make 3435 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3435 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3430–3440) to tune search ranges, and educators feature 3435 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 3435 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 3435
Is 3435 a prime number?
3435 is composite with 8 total factors and the prime factorization 3 × 5 × 229.
What is the prime factorization of 3435?
It breaks down as 3 × 5 × 229, multiplying the primes 3 × 5 × 229.
How is 3435 represented in binary and hexadecimal?
3435 converts to 110101101011 in binary and D6B in hexadecimal, which are helpful for computer science applications.
Is 3435 a perfect square, cube, or triangular number?
3435 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3435?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.