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Prime Number

2

2 is a even prime number that follows 1 and precedes 3. As a prime number, 2 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2. 2 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2 is represented as 10 in binary and 2 in hexadecimal. Historically, it is written as II in Roman numerals. It also belongs to the Fibonacci number sequence.

Roman Numeral
II
LatinClassic
Binary
10
Base 2
Hexadecimal
2
Base 16

Factor Analysis

2 Factors

Properties

ParityEven
Perfect SquareNo
Perfect CubeNo
Digit Count1
Digit Sum2
Digital Root2
Sum of Factors3
Aliquot Sum1
ClassificationDeficient
Prime Factors1
SequencesPrime numbers, Deficient numbers
Prime Factorization

2 is prime, so its only factors are 1 and 2.

Canonical form
2
2
Divisibility Insights
  • Divisible by 2

    2 ends in 2, so it is even.

  • Divisible by 3

    The digit sum 2 is not a multiple of 3.

  • Divisible by 4

    The last two digits 02 are not divisible by 4.

  • Divisible by 5

    2 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 2 is not a multiple of 9.

  • Divisible by 10

    2 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 2 within several notable number theory sequences:

Prime numbersDeficient numbersFibonacci numbers

Timeline

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Deep dive

How 2 breaks down

2 carries 2 distinct factors and a digit signature of 2 (2 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 10 supports bitwise reasoning, hexadecimal 2 aligns with computing notation, and the Roman numeral II keeps the encyclopedic tradition alive. These attributes make 2 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 2 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (17) to tune search ranges, and educators feature 2 in worksheets about prime identification. Its binary footprint of length 2 bits also makes it a solid example for teaching storage limits and overflow.

Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers, Fibonacci numbers) help historians, numerologists, and trivia writers tie 2 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 2

Is 2 a prime number?

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

What is the prime factorization of 2?

2 is already prime, so the factorization is simply 2.

How is 2 represented in binary and hexadecimal?

2 converts to 10 in binary and 2 in hexadecimal, which are helpful for computer science applications.

Is 2 a perfect square, cube, or triangular number?

2 is not a perfect square, is not a perfect cube, and is not triangular. It also belongs to the Fibonacci sequence.

What are the digit sum and digital root of 2?

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