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Prime Number

5443

5443 is a odd prime number that follows 5442 and precedes 5444. As a prime number, 5443 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 5443. 5443 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5443 is represented as 1010101000011 in binary and 1543 in hexadecimal.

Roman Numeral
N/A (1-3999)
LatinClassic
Binary
1010101000011
Base 2
Hexadecimal
1543
Base 16

Factor Analysis

2 Factors

Properties

ParityOdd
Perfect SquareNo
Perfect CubeNo
Digit Count4
Digit Sum16
Digital Root7
Sum of Factors5444
Aliquot Sum1
ClassificationDeficient
Prime Factors1
SequencesPrime numbers, Deficient numbers
Prime Factorization

5443 is prime, so its only factors are 1 and 5443.

Canonical form
5443
5443
Divisibility Insights
  • Divisible by 2

    5443 ends in 3, so it is odd.

  • Divisible by 3

    The digit sum 16 is not a multiple of 3.

  • Divisible by 4

    The last two digits 43 are not divisible by 4.

  • Divisible by 5

    5443 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 16 is not a multiple of 9.

  • Divisible by 10

    5443 does not end in 0.

  • Divisible by 11

    The alternating digit sum 2 is not a multiple of 11.

Sequence Membership

Deficient classification and digit analytics place 5443 within several notable number theory sequences:

Prime numbersDeficient numbers
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Deep dive

How 5443 breaks down

5443 carries 2 distinct factors and a digit signature of 16 (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 1010101000011 supports bitwise reasoning, hexadecimal 1543 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5443 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 5443 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (54385448) to tune search ranges, and educators feature 5443 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 5443 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 5443

Is 5443 a prime number?

5443 is prime, meaning it is only divisible by 1 and itself.

What is the prime factorization of 5443?

5443 is already prime, so the factorization is simply 5443.

How is 5443 represented in binary and hexadecimal?

5443 converts to 1010101000011 in binary and 1543 in hexadecimal, which are helpful for computer science applications.

Is 5443 a perfect square, cube, or triangular number?

5443 is not a perfect square, is not a perfect cube, and is not triangular.

What are the digit sum and digital root of 5443?

The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.