7525
7525 is a odd composite number that follows 7524 and precedes 7526. It is composed of 12 distinct factors: 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525. Its prime factorization can be written as 5^2 × 7 × 43. 7525 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7525 is represented as 1110101100101 in binary and 1D65 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (5^2 × 7 × 43) reveals 4 prime building blocks.
Divisible by 2
7525 ends in 5, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
7525 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 19 is not a multiple of 9.
Divisible by 10
7525 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 7525 within several notable number theory sequences:
Timeline
Deep dive
How 7525 breaks down
7525 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 3387, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110101100101 supports bitwise reasoning, hexadecimal 1D65 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7525 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7525 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7520–7530) to tune search ranges, and educators feature 7525 in worksheets about factor trees. Its binary footprint of length 13 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 7525 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 7525
Is 7525 a prime number?
7525 is composite with 12 total factors and the prime factorization 5^2 × 7 × 43.
What is the prime factorization of 7525?
It breaks down as 5^2 × 7 × 43, multiplying the primes 5 × 5 × 7 × 43.
How is 7525 represented in binary and hexadecimal?
7525 converts to 1110101100101 in binary and 1D65 in hexadecimal, which are helpful for computer science applications.
Is 7525 a perfect square, cube, or triangular number?
7525 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7525?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.