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Composite Number

6059

6059 is a odd composite number that follows 6058 and precedes 6060. It is composed of 4 distinct factors: 1, 73, 83, 6059. Its prime factorization can be written as 73 × 83. 6059 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6059 is represented as 1011110101011 in binary and 17AB in hexadecimal.

Roman Numeral
N/A (1-3999)
LatinClassic
Binary
1011110101011
Base 2
Hexadecimal
17AB
Base 16

Factor Analysis

4 Factors

Properties

ParityOdd
Perfect SquareNo
Perfect CubeNo
Digit Count4
Digit Sum20
Digital Root2
Sum of Factors6216
Aliquot Sum157
ClassificationDeficient
Prime Factors2
SequencesComposite numbers, Deficient numbers
Prime Factorization

The prime factorization (73 × 83) reveals 2 prime building blocks.

Canonical form
73 × 83
7383
Divisibility Insights
  • Divisible by 2

    6059 ends in 9, so it is odd.

  • Divisible by 3

    The digit sum 20 is not a multiple of 3.

  • Divisible by 4

    The last two digits 59 are not divisible by 4.

  • Divisible by 5

    6059 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 20 is not a multiple of 9.

  • Divisible by 10

    6059 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 6059 within several notable number theory sequences:

Composite numbersDeficient numbers
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Deep dive

How 6059 breaks down

6059 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 157, which stays below the number, offering a quick glimpse into its abundance profile.

Numeral conversions provide additional context: the binary form 1011110101011 supports bitwise reasoning, hexadecimal 17AB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6059 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 6059 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (60546064) to tune search ranges, and educators feature 6059 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 6059 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 6059

Is 6059 a prime number?

6059 is composite with 4 total factors and the prime factorization 73 × 83.

What is the prime factorization of 6059?

It breaks down as 73 × 83, multiplying the primes 73 × 83.

How is 6059 represented in binary and hexadecimal?

6059 converts to 1011110101011 in binary and 17AB in hexadecimal, which are helpful for computer science applications.

Is 6059 a perfect square, cube, or triangular number?

6059 is not a perfect square, is not a perfect cube, and is not triangular.

What are the digit sum and digital root of 6059?

The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.