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Prime Number

5479

5479 is a odd prime number that follows 5478 and precedes 5480. As a prime number, 5479 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 5479. 5479 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5479 is represented as 1010101100111 in binary and 1567 in hexadecimal.

Roman Numeral
N/A (1-3999)
LatinClassic
Binary
1010101100111
Base 2
Hexadecimal
1567
Base 16

Factor Analysis

2 Factors

Properties

ParityOdd
Perfect SquareNo
Perfect CubeNo
Digit Count4
Digit Sum25
Digital Root7
Sum of Factors5480
Aliquot Sum1
ClassificationDeficient
Prime Factors1
SequencesPrime numbers, Deficient numbers
Prime Factorization

5479 is prime, so its only factors are 1 and 5479.

Canonical form
5479
5479
Divisibility Insights
  • Divisible by 2

    5479 ends in 9, so it is odd.

  • Divisible by 3

    The digit sum 25 is not a multiple of 3.

  • Divisible by 4

    The last two digits 79 are not divisible by 4.

  • Divisible by 5

    5479 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 25 is not a multiple of 9.

  • Divisible by 10

    5479 does not end in 0.

  • Divisible by 11

    The alternating digit sum -1 is not a multiple of 11.

Sequence Membership

Deficient classification and digit analytics place 5479 within several notable number theory sequences:

Prime numbersDeficient numbers
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Deep dive

How 5479 breaks down

5479 carries 2 distinct factors and a digit signature of 25 (7 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 1010101100111 supports bitwise reasoning, hexadecimal 1567 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5479 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 5479 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (54745484) to tune search ranges, and educators feature 5479 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 5479 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 5479

Is 5479 a prime number?

5479 is prime, meaning it is only divisible by 1 and itself.

What is the prime factorization of 5479?

5479 is already prime, so the factorization is simply 5479.

How is 5479 represented in binary and hexadecimal?

5479 converts to 1010101100111 in binary and 1567 in hexadecimal, which are helpful for computer science applications.

Is 5479 a perfect square, cube, or triangular number?

5479 is not a perfect square, is not a perfect cube, and is not triangular.

What are the digit sum and digital root of 5479?

The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.