3430
3430 is a even composite number that follows 3429 and precedes 3431. It is composed of 16 distinct factors: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430. Its prime factorization can be written as 2 × 5 × 7^3. 3430 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3430 is represented as 110101100110 in binary and D66 in hexadecimal. Historically, it is written as MMMCDXXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 7^3) reveals 5 prime building blocks.
Divisible by 2
3430 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 30 are not divisible by 4.
Divisible by 5
3430 ends in 0, 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 10 is not a multiple of 9.
Divisible by 10
3430 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 3430 within several notable number theory sequences:
Timeline
Deep dive
How 3430 breaks down
3430 carries 16 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 3770, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101100110 supports bitwise reasoning, hexadecimal D66 aligns with computing notation, and the Roman numeral MMMCDXXX keeps the encyclopedic tradition alive. These attributes make 3430 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3430 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3425–3435) to tune search ranges, and educators feature 3430 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3430 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 3430
Is 3430 a prime number?
3430 is composite with 16 total factors and the prime factorization 2 × 5 × 7^3.
What is the prime factorization of 3430?
It breaks down as 2 × 5 × 7^3, multiplying the primes 2 × 5 × 7 × 7 × 7.
How is 3430 represented in binary and hexadecimal?
3430 converts to 110101100110 in binary and D66 in hexadecimal, which are helpful for computer science applications.
Is 3430 a perfect square, cube, or triangular number?
3430 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3430?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.