3424
3424 is a even composite number that follows 3423 and precedes 3425. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424. Its prime factorization can be written as 2^5 × 107. 3424 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3424 is represented as 110101100000 in binary and D60 in hexadecimal. Historically, it is written as MMMCDXXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 107) reveals 6 prime building blocks.
Divisible by 2
3424 ends in 4, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
3424 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
3424 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 3424 within several notable number theory sequences:
Timeline
Deep dive
How 3424 breaks down
3424 carries 12 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 3380, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101100000 supports bitwise reasoning, hexadecimal D60 aligns with computing notation, and the Roman numeral MMMCDXXIV keeps the encyclopedic tradition alive. These attributes make 3424 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3424 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3419–3429) to tune search ranges, and educators feature 3424 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 3424 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 3424
Is 3424 a prime number?
3424 is composite with 12 total factors and the prime factorization 2^5 × 107.
What is the prime factorization of 3424?
It breaks down as 2^5 × 107, multiplying the primes 2 × 2 × 2 × 2 × 2 × 107.
How is 3424 represented in binary and hexadecimal?
3424 converts to 110101100000 in binary and D60 in hexadecimal, which are helpful for computer science applications.
Is 3424 a perfect square, cube, or triangular number?
3424 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3424?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.