Numberwise

4000

The PW4000 is a widebody turbofan family.

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Where 4000 fits

Where 4000 fits: Mathematics, Related numbersMathematics: Powerful number, Harshad (Niven) number. Related numbers: 3007.MathematicsPowerful numberHarshad (Niven) numberRelated numbers30074000
4000 connects to 2 worlds: mathematics, related numbers.

Why 4000 is special

One engine family covers three different fan diameters, which is how a manufacturer serves aircraft from the 767 to the 777 without three separate designs.

Factors & digit properties

Divisors (24)
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000
Prime factorisation
2^5 × 5^3
Digit sum
4
Digital root
4

Representations

Decimal
4000
Scientific notation
4.000 × 10^3

Roman numerals

Roman numerals as modelled here goes up to 3,999.

Binary

1 1 1 1 1 0 1 0 0 0 0 0

1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 4,000

Octal

7 6 4 0

7 × 512 + 6 × 64 + 4 × 8 + 0 × 1 = 4,000

Hexadecimal

f a 0

f × 256 + a × 16 + 0 × 1 = 4,000

Read as powers of two: 2,048 + 1,024 + 512 + 256 + 128 + 32 = 4,000.

In historical numeral systems

Egyptian

4 lotuses

4 × 1,000 = 4,000. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.

Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.

Other mathematical patterns

  • Abundant number
  • Powerful number
  • Harshad (Niven) number

Related numbers & connections

Connection
Both are turbofan families whose variants span very different aircraft from one core.

Both are turbofan families whose variants span very different aircraft from one core.

View 3007

Other connections

  • is associated with3007
    why?

    Strength 0.50, confidence "high".

How is 4000 connected to another number? →

Technology & computing

  • The Pratt & Whitney PW4000 family comprises 94, 100 and 112-inch fan variants powering aircraft including the 767, A330 and 777, sharing a common core architecture.

    DocumentedTechnology & computingGeography: United StatesPeriod: 1984–

Common questions

Is 4000 a prime number?

No, 4000 is not prime.

What are the factors of 4000?

The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000.

About this page's data

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

Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.

Last reviewed: 15 July 2026