525
525 is a odd composite number that follows 524 and precedes 526. It is composed of 12 distinct factors: 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. Its prime factorization can be written as 3 × 5^2 × 7. 525 is classified as a deficient number based on the sum of its proper divisors. In computer science, 525 is represented as 1000001101 in binary and 20D in hexadecimal. Historically, it is written as DXXV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 5^2 × 7) reveals 4 prime building blocks.
Divisible by 2
525 ends in 5, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
525 ends in 5, 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 12 is not a multiple of 9.
Divisible by 10
525 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 525 within several notable number theory sequences:
Timeline
Deep dive
How 525 breaks down
525 carries 12 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 467, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001101 supports bitwise reasoning, hexadecimal 20D aligns with computing notation, and the Roman numeral DXXV keeps the encyclopedic tradition alive. These attributes make 525 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 525 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (520–530) to tune search ranges, and educators feature 525 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, Deficient numbers) help historians, numerologists, and trivia writers tie 525 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 525
Is 525 a prime number?
525 is composite with 12 total factors and the prime factorization 3 × 5^2 × 7.
What is the prime factorization of 525?
It breaks down as 3 × 5^2 × 7, multiplying the primes 3 × 5 × 5 × 7.
How is 525 represented in binary and hexadecimal?
525 converts to 1000001101 in binary and 20D in hexadecimal, which are helpful for computer science applications.
Is 525 a perfect square, cube, or triangular number?
525 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 525?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.