4220
4220 is a even composite number that follows 4219 and precedes 4221. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220. Its prime factorization can be written as 2^2 × 5 × 211. 4220 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4220 is represented as 1000001111100 in binary and 107C in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 211) reveals 4 prime building blocks.
Divisible by 2
4220 ends in 0, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
4220 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 8 is not a multiple of 9.
Divisible by 10
4220 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 4220 within several notable number theory sequences:
Timeline
Deep dive
How 4220 breaks down
4220 carries 12 distinct factors and a digit signature of 8 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 4684, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001111100 supports bitwise reasoning, hexadecimal 107C aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4220 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4220 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4215–4225) to tune search ranges, and educators feature 4220 in worksheets about factor trees. Its binary footprint of length 13 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 4220 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 4220
Is 4220 a prime number?
4220 is composite with 12 total factors and the prime factorization 2^2 × 5 × 211.
What is the prime factorization of 4220?
It breaks down as 2^2 × 5 × 211, multiplying the primes 2 × 2 × 5 × 211.
How is 4220 represented in binary and hexadecimal?
4220 converts to 1000001111100 in binary and 107C in hexadecimal, which are helpful for computer science applications.
Is 4220 a perfect square, cube, or triangular number?
4220 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4220?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.