4000
Number 4000: Properties, Factors, and Mathematical Facts
Short answer
The number 4000 is an even composite number with 24 positive divisors. Its prime factorization is 2⁵ × 5³. It is also an abundant number, which gives it several notable mathematical relationships.
Is 4000 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 4000?
Prime factorization
2 to the power of 5 times 5 cubed
What are the divisors of 4000?
Divisor count
24
Divisor sum
9,828
Proper divisor sum
5,828
- 1
- 2
- 4
- 5
- 8
- 10
- 16
- 20
- 25
- 32
- 40
- 50
- 80
- 100
- 125
- 160
- 200
- 250
- 400
- 500
- 800
- 1000
- 2000
- 4000
How is 4000 classified?
How is 4000 represented in other numeral systems?
Decimal
4000
Binary
111110100000
Octal
7640
Hexadecimal
FA0
Roman
No conventional Roman numeral
In words
four thousand
Roots and powers
Square root
63.245553 Approximate
Cube root
15.874011 Approximate
Nearest lower square
3969
Nearest higher square
4096
Nearest lower cube
3375
Nearest higher cube
4096
What are the digit properties of 4000?
Which numbers are related to 4000?
Why these results are true
- 4000 is composite because it has positive divisors other than 1 and itself.
- 4000 is abundant because the sum of its proper divisors (5828) is greater than 4000.
Compare this number
FAQ for 4000
- Is 4000 prime?
- No
- What is the prime factorization of 4000?
- 2⁵ × 5³
- Is 4000 a perfect square?
- No
- What is 4000 in binary?
- 111110100000