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Prime Number

571

571 is a odd prime number that follows 570 and precedes 572. As a prime number, 571 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 571. 571 is classified as a deficient number based on the sum of its proper divisors. In computer science, 571 is represented as 1000111011 in binary and 23B in hexadecimal. Historically, it is written as DLXXI in Roman numerals.

Roman Numeral
DLXXI
LatinClassic
Binary
1000111011
Base 2
Hexadecimal
23B
Base 16

Factor Analysis

2 Factors

Properties

ParityOdd
Perfect SquareNo
Perfect CubeNo
Digit Count3
Digit Sum13
Digital Root4
Sum of Factors572
Aliquot Sum1
ClassificationDeficient
Prime Factors1
SequencesPrime numbers, Deficient numbers
Prime Factorization

571 is prime, so its only factors are 1 and 571.

Canonical form
571
571
Divisibility Insights
  • Divisible by 2

    571 ends in 1, so it is odd.

  • Divisible by 3

    The digit sum 13 is not a multiple of 3.

  • Divisible by 4

    The last two digits 71 are not divisible by 4.

  • Divisible by 5

    571 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 13 is not a multiple of 9.

  • Divisible by 10

    571 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 571 within several notable number theory sequences:

Prime numbersDeficient numbers
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Deep dive

How 571 breaks down

571 carries 2 distinct factors and a digit signature of 13 (4 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 1000111011 supports bitwise reasoning, hexadecimal 23B aligns with computing notation, and the Roman numeral DLXXI keeps the encyclopedic tradition alive. These attributes make 571 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 571 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (566576) to tune search ranges, and educators feature 571 in worksheets about prime identification. Its binary footprint of length 10 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 571 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 571

Is 571 a prime number?

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

What is the prime factorization of 571?

571 is already prime, so the factorization is simply 571.

How is 571 represented in binary and hexadecimal?

571 converts to 1000111011 in binary and 23B in hexadecimal, which are helpful for computer science applications.

Is 571 a perfect square, cube, or triangular number?

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

What are the digit sum and digital root of 571?

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