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Composite Number

8925

8925 is a odd composite number that follows 8924 and precedes 8926. It is composed of 24 distinct factors: 1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925. Its prime factorization can be written as 3 × 5^2 × 7 × 17. 8925 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8925 is represented as 10001011011101 in binary and 22DD in hexadecimal.

Roman Numeral
N/A (1-3999)
LatinClassic
Binary
10001011011101
Base 2
Hexadecimal
22DD
Base 16

Factor Analysis

24 Factors

Properties

ParityOdd
Perfect SquareNo
Perfect CubeNo
Digit Count4
Digit Sum24
Digital Root6
Sum of Factors17856
Aliquot Sum8931
ClassificationAbundant
Prime Factors5
SequencesComposite numbers, Abundant numbers
Prime Factorization

The prime factorization (3 × 5^2 × 7 × 17) reveals 5 prime building blocks.

Canonical form
3 × 5^2 × 7 × 17
355717
Divisibility Insights
  • Divisible by 2

    8925 ends in 5, so it is odd.

  • Divisible by 3

    The digit sum 24 is a multiple of 3.

  • Divisible by 4

    The last two digits 25 are not divisible by 4.

  • Divisible by 5

    8925 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 24 is not a multiple of 9.

  • Divisible by 10

    8925 does not end in 0.

  • Divisible by 11

    The alternating digit sum -4 is not a multiple of 11.

Sequence Membership

Abundant classification and digit analytics place 8925 within several notable number theory sequences:

Composite numbersAbundant numbers
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Deep dive

How 8925 breaks down

8925 carries 24 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 8931, which exceeds the number, offering a quick glimpse into its abundance profile.

Numeral conversions provide additional context: the binary form 10001011011101 supports bitwise reasoning, hexadecimal 22DD aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8925 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 8925 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (89208930) to tune search ranges, and educators feature 8925 in worksheets about factor trees. Its binary footprint of length 14 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 8925 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 8925

Is 8925 a prime number?

8925 is composite with 24 total factors and the prime factorization 3 × 5^2 × 7 × 17.

What is the prime factorization of 8925?

It breaks down as 3 × 5^2 × 7 × 17, multiplying the primes 3 × 5 × 5 × 7 × 17.

How is 8925 represented in binary and hexadecimal?

8925 converts to 10001011011101 in binary and 22DD in hexadecimal, which are helpful for computer science applications.

Is 8925 a perfect square, cube, or triangular number?

8925 is not a perfect square, is not a perfect cube, and is not triangular.

What are the digit sum and digital root of 8925?

The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.