N
NumberPedia
Menu

© 2025 NumberPedia

Prime Number

9479

9479 is a odd prime number that follows 9478 and precedes 9480. As a prime number, 9479 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 9479. 9479 is classified as a deficient number based on the sum of its proper divisors. In computer science, 9479 is represented as 10010100000111 in binary and 2507 in hexadecimal.

Roman Numeral
N/A (1-3999)
LatinClassic
Binary
10010100000111
Base 2
Hexadecimal
2507
Base 16

Factor Analysis

2 Factors

Properties

ParityOdd
Perfect SquareNo
Perfect CubeNo
Digit Count4
Digit Sum29
Digital Root2
Sum of Factors9480
Aliquot Sum1
ClassificationDeficient
Prime Factors1
SequencesPrime numbers, Deficient numbers
Prime Factorization

9479 is prime, so its only factors are 1 and 9479.

Canonical form
9479
9479
Divisibility Insights
  • Divisible by 2

    9479 ends in 9, so it is odd.

  • Divisible by 3

    The digit sum 29 is not a multiple of 3.

  • Divisible by 4

    The last two digits 79 are not divisible by 4.

  • Divisible by 5

    9479 does not end in 0 or 5.

  • Divisible by 6

    A number must be divisible by 2 and 3 to pass the 6-test.

  • Divisible by 9

    The digit sum 29 is not a multiple of 9.

  • Divisible by 10

    9479 does not end in 0.

  • Divisible by 11

    The alternating digit sum 3 is not a multiple of 11.

Sequence Membership

Deficient classification and digit analytics place 9479 within several notable number theory sequences:

Prime numbersDeficient numbers
Advertisement

Deep dive

How 9479 breaks down

9479 carries 2 distinct factors and a digit signature of 29 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.

Numeral conversions provide additional context: the binary form 10010100000111 supports bitwise reasoning, hexadecimal 2507 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 9479 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 9479 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (94749484) to tune search ranges, and educators feature 9479 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 9479 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 9479

Is 9479 a prime number?

9479 is prime, meaning it is only divisible by 1 and itself.

What is the prime factorization of 9479?

9479 is already prime, so the factorization is simply 9479.

How is 9479 represented in binary and hexadecimal?

9479 converts to 10010100000111 in binary and 2507 in hexadecimal, which are helpful for computer science applications.

Is 9479 a perfect square, cube, or triangular number?

9479 is not a perfect square, is not a perfect cube, and is not triangular.

What are the digit sum and digital root of 9479?

The digits sum to 29, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.