522
522 is a even composite number that follows 521 and precedes 523. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. Its prime factorization can be written as 2 × 3^2 × 29. 522 is classified as a abundant number based on the sum of its proper divisors. In computer science, 522 is represented as 1000001010 in binary and 20A in hexadecimal. Historically, it is written as DXXII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 29) reveals 4 prime building blocks.
Divisible by 2
522 ends in 2, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
522 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
522 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 522 within several notable number theory sequences:
Timeline
Deep dive
How 522 breaks down
522 carries 12 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 648, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001010 supports bitwise reasoning, hexadecimal 20A aligns with computing notation, and the Roman numeral DXXII keeps the encyclopedic tradition alive. These attributes make 522 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 522 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (517–527) to tune search ranges, and educators feature 522 in worksheets about factor trees. Its binary footprint of length 10 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 522 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 522
Is 522 a prime number?
522 is composite with 12 total factors and the prime factorization 2 × 3^2 × 29.
What is the prime factorization of 522?
It breaks down as 2 × 3^2 × 29, multiplying the primes 2 × 3 × 3 × 29.
How is 522 represented in binary and hexadecimal?
522 converts to 1000001010 in binary and 20A in hexadecimal, which are helpful for computer science applications.
Is 522 a perfect square, cube, or triangular number?
522 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 522?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.