2522
2522 is a even composite number that follows 2521 and precedes 2523. It is composed of 8 distinct factors: 1, 2, 13, 26, 97, 194, 1261, 2522. Its prime factorization can be written as 2 × 13 × 97. 2522 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2522 is represented as 100111011010 in binary and 9DA in hexadecimal. Historically, it is written as MMDXXII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 97) reveals 3 prime building blocks.
Divisible by 2
2522 ends in 2, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
2522 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
2522 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 2522 within several notable number theory sequences:
Timeline
Deep dive
How 2522 breaks down
2522 carries 8 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1594, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111011010 supports bitwise reasoning, hexadecimal 9DA aligns with computing notation, and the Roman numeral MMDXXII keeps the encyclopedic tradition alive. These attributes make 2522 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2522 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2517–2527) to tune search ranges, and educators feature 2522 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, Deficient numbers) help historians, numerologists, and trivia writers tie 2522 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 2522
Is 2522 a prime number?
2522 is composite with 8 total factors and the prime factorization 2 × 13 × 97.
What is the prime factorization of 2522?
It breaks down as 2 × 13 × 97, multiplying the primes 2 × 13 × 97.
How is 2522 represented in binary and hexadecimal?
2522 converts to 100111011010 in binary and 9DA in hexadecimal, which are helpful for computer science applications.
Is 2522 a perfect square, cube, or triangular number?
2522 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2522?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.