2420
2420 is a even composite number that follows 2419 and precedes 2421. It is composed of 18 distinct factors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420. Its prime factorization can be written as 2^2 × 5 × 11^2. 2420 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2420 is represented as 100101110100 in binary and 974 in hexadecimal. Historically, it is written as MMCDXX in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 5 × 11^2) reveals 5 prime building blocks.
Divisible by 2
2420 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
2420 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
2420 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 2420 within several notable number theory sequences:
Timeline
Deep dive
How 2420 breaks down
2420 carries 18 distinct factors and a digit signature of 8 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 3166, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101110100 supports bitwise reasoning, hexadecimal 974 aligns with computing notation, and the Roman numeral MMCDXX keeps the encyclopedic tradition alive. These attributes make 2420 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2420 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2415–2425) to tune search ranges, and educators feature 2420 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 2420 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 2420
Is 2420 a prime number?
2420 is composite with 18 total factors and the prime factorization 2^2 × 5 × 11^2.
What is the prime factorization of 2420?
It breaks down as 2^2 × 5 × 11^2, multiplying the primes 2 × 2 × 5 × 11 × 11.
How is 2420 represented in binary and hexadecimal?
2420 converts to 100101110100 in binary and 974 in hexadecimal, which are helpful for computer science applications.
Is 2420 a perfect square, cube, or triangular number?
2420 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2420?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.