Numberwise

2,048

2048 is 2¹¹, and the name of the sliding-tile puzzle game where players combine tiles to reach 2048.

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Where 2,048 fits

Where 2,048 fits: Mathematics, Related numbersMathematics: Powerful number. Related numbers: 1024.MathematicsPowerful numberRelated numbers10242,048
2,048 connects to 2 worlds: mathematics, related numbers.

Why 2,048 is special

2048 is a power of two that became a game: the 2014 puzzle 2048 asks players to merge matching tiles, doubling each time, until one tile reaches 2048 — so the target is not arbitrary but the eleventh doubling of 2. It is also twice 1024, the historical kilobyte.

2,048 connects to:

  • 1024 has multiple
  • powers of two appears in

2,048 is part of

Factors & digit properties

Divisors (12)
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048
Prime factorisation
2^11
Digit sum
14
Digital root
5

Representations

Decimal
2048
Binary
100000000000
Octal
4000
Hexadecimal
800
Roman numeral
MMXLVIII
Scientific notation
2.048 × 10^3

Other mathematical patterns

  • Deficient number
  • Powerful number

Related numbers & connections

Mathematical relationship
2048 is exactly twice 1024 — the next doubling of two, and the reason the 2048 game's target follows from 1024.

2048 is exactly twice 1024 — the next doubling of two, and the reason the 2048 game's target follows from 1024.

View 1024
Documented appearance
2¹¹ — twice 1024, and the target that gives the puzzle game its name.

2¹¹ — twice 1024, and the target that gives the puzzle game its name.

Mathematically related

  • has multiple1024
    why?

    Strength 0.50, confidence "high".

Numbers Around Us

  • appears inPowers of two
    why?

    Strength 0.50, confidence "high".

How is 2,048 connected to another number? →

Media & popular culture

  • 2048 is a sliding-tile puzzle game released in 2014 by Gabriele Cirulli, in which players merge matching numbered tiles — each merge doubling the value — with the goal of producing a 2048 tile.

    DocumentedMedia & popular culturePeriod: 2014

Mathematics

  • 2048 is 2¹¹, and exactly twice 1024.

    DocumentedMathematics

Common questions

Is 2,048 a prime number?

No, 2,048 is not prime.

What are the factors of 2,048?

The factors of 2,048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048.

What is 2,048 in Roman numerals?

2,048 in Roman numerals is MMXLVIII.

About this page's data

Mathematical facts:computed directly from the number's value — nothing to source or verify externally.

Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.

Last reviewed: 30 July 2026