2521
2521 is a odd prime number that follows 2520 and precedes 2522. As a prime number, 2521 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2521. 2521 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2521 is represented as 100111011001 in binary and 9D9 in hexadecimal. Historically, it is written as MMDXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
2521 is prime, so its only factors are 1 and 2521.
Divisible by 2
2521 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
2521 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 10 is not a multiple of 9.
Divisible by 10
2521 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 2521 within several notable number theory sequences:
Timeline
Deep dive
How 2521 breaks down
2521 carries 2 distinct factors and a digit signature of 10 (1 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 100111011001 supports bitwise reasoning, hexadecimal 9D9 aligns with computing notation, and the Roman numeral MMDXXI keeps the encyclopedic tradition alive. These attributes make 2521 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2521 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2516–2526) to tune search ranges, and educators feature 2521 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 2521 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 2521
Is 2521 a prime number?
2521 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2521?
2521 is already prime, so the factorization is simply 2521.
How is 2521 represented in binary and hexadecimal?
2521 converts to 100111011001 in binary and 9D9 in hexadecimal, which are helpful for computer science applications.
Is 2521 a perfect square, cube, or triangular number?
2521 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2521?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.