2621
2621 is a odd prime number that follows 2620 and precedes 2622. As a prime number, 2621 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2621. 2621 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2621 is represented as 101000111101 in binary and A3D in hexadecimal. Historically, it is written as MMDCXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
2621 is prime, so its only factors are 1 and 2621.
Divisible by 2
2621 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
2621 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 11 is not a multiple of 9.
Divisible by 10
2621 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 2621 within several notable number theory sequences:
Timeline
Deep dive
How 2621 breaks down
2621 carries 2 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000111101 supports bitwise reasoning, hexadecimal A3D aligns with computing notation, and the Roman numeral MMDCXXI keeps the encyclopedic tradition alive. These attributes make 2621 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2621 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2616–2626) to tune search ranges, and educators feature 2621 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2621 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 2621
Is 2621 a prime number?
2621 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2621?
2621 is already prime, so the factorization is simply 2621.
How is 2621 represented in binary and hexadecimal?
2621 converts to 101000111101 in binary and A3D in hexadecimal, which are helpful for computer science applications.
Is 2621 a perfect square, cube, or triangular number?
2621 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2621?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.