7925
7925 is a odd composite number that follows 7924 and precedes 7926. It is composed of 6 distinct factors: 1, 5, 25, 317, 1585, 7925. Its prime factorization can be written as 5^2 × 317. 7925 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7925 is represented as 1111011110101 in binary and 1EF5 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 317) reveals 3 prime building blocks.
Divisible by 2
7925 ends in 5, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
7925 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 23 is not a multiple of 9.
Divisible by 10
7925 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 7925 within several notable number theory sequences:
Timeline
Deep dive
How 7925 breaks down
7925 carries 6 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1933, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111011110101 supports bitwise reasoning, hexadecimal 1EF5 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7925 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7925 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7920–7930) to tune search ranges, and educators feature 7925 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 7925 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 7925
Is 7925 a prime number?
7925 is composite with 6 total factors and the prime factorization 5^2 × 317.
What is the prime factorization of 7925?
It breaks down as 5^2 × 317, multiplying the primes 5 × 5 × 317.
How is 7925 represented in binary and hexadecimal?
7925 converts to 1111011110101 in binary and 1EF5 in hexadecimal, which are helpful for computer science applications.
Is 7925 a perfect square, cube, or triangular number?
7925 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7925?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.