2620
2620 is a even composite number that follows 2619 and precedes 2621. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620. Its prime factorization can be written as 2^2 × 5 × 131. 2620 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2620 is represented as 101000111100 in binary and A3C in hexadecimal. Historically, it is written as MMDCXX in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 131) reveals 4 prime building blocks.
Divisible by 2
2620 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
2620 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 10 is not a multiple of 9.
Divisible by 10
2620 ends in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 2620 within several notable number theory sequences:
Timeline
Deep dive
How 2620 breaks down
2620 carries 12 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 2924, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000111100 supports bitwise reasoning, hexadecimal A3C aligns with computing notation, and the Roman numeral MMDCXX keeps the encyclopedic tradition alive. These attributes make 2620 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2620 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2615–2625) to tune search ranges, and educators feature 2620 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 2620 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 2620
Is 2620 a prime number?
2620 is composite with 12 total factors and the prime factorization 2^2 × 5 × 131.
What is the prime factorization of 2620?
It breaks down as 2^2 × 5 × 131, multiplying the primes 2 × 2 × 5 × 131.
How is 2620 represented in binary and hexadecimal?
2620 converts to 101000111100 in binary and A3C in hexadecimal, which are helpful for computer science applications.
Is 2620 a perfect square, cube, or triangular number?
2620 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2620?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.