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Prime Number

499

499 is a odd prime number that follows 498 and precedes 500. As a prime number, 499 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 499. 499 is classified as a deficient number based on the sum of its proper divisors. In computer science, 499 is represented as 111110011 in binary and 1F3 in hexadecimal. Historically, it is written as CDXCIX in Roman numerals.

Roman Numeral
CDXCIX
LatinClassic
Binary
111110011
Base 2
Hexadecimal
1F3
Base 16

Factor Analysis

2 Factors

Properties

ParityOdd
Perfect SquareNo
Perfect CubeNo
Digit Count3
Digit Sum22
Digital Root4
Sum of Factors500
Aliquot Sum1
ClassificationDeficient
Prime Factors1
SequencesPrime numbers, Deficient numbers
Prime Factorization

499 is prime, so its only factors are 1 and 499.

Canonical form
499
499
Divisibility Insights
  • Divisible by 2

    499 ends in 9, so it is odd.

  • Divisible by 3

    The digit sum 22 is not a multiple of 3.

  • Divisible by 4

    The last two digits 99 are not divisible by 4.

  • Divisible by 5

    499 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 22 is not a multiple of 9.

  • Divisible by 10

    499 does not end in 0.

  • Divisible by 11

    The alternating digit sum 4 is not a multiple of 11.

Sequence Membership

Deficient classification and digit analytics place 499 within several notable number theory sequences:

Prime numbersDeficient numbers
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Deep dive

How 499 breaks down

499 carries 2 distinct factors and a digit signature of 22 (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 111110011 supports bitwise reasoning, hexadecimal 1F3 aligns with computing notation, and the Roman numeral CDXCIX keeps the encyclopedic tradition alive. These attributes make 499 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 499 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (494504) to tune search ranges, and educators feature 499 in worksheets about prime identification. Its binary footprint of length 9 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 499 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 499

Is 499 a prime number?

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

What is the prime factorization of 499?

499 is already prime, so the factorization is simply 499.

How is 499 represented in binary and hexadecimal?

499 converts to 111110011 in binary and 1F3 in hexadecimal, which are helpful for computer science applications.

Is 499 a perfect square, cube, or triangular number?

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

What are the digit sum and digital root of 499?

The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.