3421
3421 is a odd composite number that follows 3420 and precedes 3422. It is composed of 4 distinct factors: 1, 11, 311, 3421. Its prime factorization can be written as 11 × 311. 3421 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3421 is represented as 110101011101 in binary and D5D in hexadecimal. Historically, it is written as MMMCDXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 311) reveals 2 prime building blocks.
Divisible by 2
3421 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
3421 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 10 is not a multiple of 9.
Divisible by 10
3421 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3421 within several notable number theory sequences:
Timeline
Deep dive
How 3421 breaks down
3421 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 323, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101011101 supports bitwise reasoning, hexadecimal D5D aligns with computing notation, and the Roman numeral MMMCDXXI keeps the encyclopedic tradition alive. These attributes make 3421 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3421 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3416–3426) to tune search ranges, and educators feature 3421 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 3421 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 3421
Is 3421 a prime number?
3421 is composite with 4 total factors and the prime factorization 11 × 311.
What is the prime factorization of 3421?
It breaks down as 11 × 311, multiplying the primes 11 × 311.
How is 3421 represented in binary and hexadecimal?
3421 converts to 110101011101 in binary and D5D in hexadecimal, which are helpful for computer science applications.
Is 3421 a perfect square, cube, or triangular number?
3421 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3421?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.