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Composite Number

9130

9130 is a even composite number that follows 9129 and precedes 9131. It is composed of 16 distinct factors: 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130. Its prime factorization can be written as 2 × 5 × 11 × 83. 9130 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9130 is represented as 10001110101010 in binary and 23AA in hexadecimal.

Roman Numeral
N/A (1-3999)
LatinClassic
Binary
10001110101010
Base 2
Hexadecimal
23AA
Base 16

Factor Analysis

16 Factors

Properties

ParityEven
Perfect SquareNo
Perfect CubeNo
Digit Count4
Digit Sum13
Digital Root4
Sum of Factors18144
Aliquot Sum9014
ClassificationDeficient
Prime Factors4
SequencesComposite numbers, Deficient numbers
Prime Factorization

The prime factorization (2 × 5 × 11 × 83) reveals 4 prime building blocks.

Canonical form
2 × 5 × 11 × 83
251183
Divisibility Insights
  • Divisible by 2

    9130 ends in 0, so it is even.

  • Divisible by 3

    The digit sum 13 is not a multiple of 3.

  • Divisible by 4

    The last two digits 30 are not divisible by 4.

  • Divisible by 5

    9130 ends in 0, 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 13 is not a multiple of 9.

  • Divisible by 10

    9130 ends in 0.

  • Divisible by 11

    The alternating digit sum 11 is a multiple of 11.

Sequence Membership

Deficient classification and digit analytics place 9130 within several notable number theory sequences:

Composite numbersDeficient numbers
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Deep dive

How 9130 breaks down

9130 carries 16 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 9014, which stays below the number, offering a quick glimpse into its abundance profile.

Numeral conversions provide additional context: the binary form 10001110101010 supports bitwise reasoning, hexadecimal 23AA aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9130 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 9130 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (91259135) to tune search ranges, and educators feature 9130 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, Deficient numbers) help historians, numerologists, and trivia writers tie 9130 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 9130

Is 9130 a prime number?

9130 is composite with 16 total factors and the prime factorization 2 × 5 × 11 × 83.

What is the prime factorization of 9130?

It breaks down as 2 × 5 × 11 × 83, multiplying the primes 2 × 5 × 11 × 83.

How is 9130 represented in binary and hexadecimal?

9130 converts to 10001110101010 in binary and 23AA in hexadecimal, which are helpful for computer science applications.

Is 9130 a perfect square, cube, or triangular number?

9130 is not a perfect square, is not a perfect cube, and is not triangular.

What are the digit sum and digital root of 9130?

The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.