3220
3220 is a even composite number that follows 3219 and precedes 3221. It is composed of 24 distinct factors: 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220. Its prime factorization can be written as 2^2 × 5 × 7 × 23. 3220 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3220 is represented as 110010010100 in binary and C94 in hexadecimal. Historically, it is written as MMMCCXX in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 5 × 7 × 23) reveals 5 prime building blocks.
Divisible by 2
3220 ends in 0, so it is even.
Divisible by 3
The digit sum 7 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
3220 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 7 is not a multiple of 9.
Divisible by 10
3220 ends in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 3220 within several notable number theory sequences:
Timeline
Deep dive
How 3220 breaks down
3220 carries 24 distinct factors and a digit signature of 7 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 4844, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110010010100 supports bitwise reasoning, hexadecimal C94 aligns with computing notation, and the Roman numeral MMMCCXX keeps the encyclopedic tradition alive. These attributes make 3220 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3220 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3215–3225) to tune search ranges, and educators feature 3220 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 3220 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 3220
Is 3220 a prime number?
3220 is composite with 24 total factors and the prime factorization 2^2 × 5 × 7 × 23.
What is the prime factorization of 3220?
It breaks down as 2^2 × 5 × 7 × 23, multiplying the primes 2 × 2 × 5 × 7 × 23.
How is 3220 represented in binary and hexadecimal?
3220 converts to 110010010100 in binary and C94 in hexadecimal, which are helpful for computer science applications.
Is 3220 a perfect square, cube, or triangular number?
3220 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3220?
The digits sum to 7, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.