4200
Number 4200: Properties, Factors, and Mathematical Facts
Short answer
The number 4200 is an even composite number with 48 positive divisors. Its prime factorization is 2³ × 3 × 5² × 7. It is also an abundant number, which gives it several notable mathematical relationships.
Is 4200 prime?
ClassificationCompositeParityEvenDivisor count48AbundanceAbundant
What is the prime factorization of 4200?
Prime factorization
2 cubed times 3 times 5 squared times 7
What are the divisors of 4200?
Divisor count
48
Divisor sum
14,880
Proper divisor sum
10,680
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 10
- 12
- 14
- 15
- 20
- 21
- 24
- 25
- 28
- 30
- 35
- 40
- 42
- 50
- 56
- 60
How is 4200 classified?
How is 4200 represented in other numeral systems?
Decimal
4200
Binary
1000001101000
Octal
10150
Hexadecimal
1068
Roman
No conventional Roman numeral
In words
four thousand two hundred
Roots and powers
Square root
64.807407 Approximate
Cube root
16.134286 Approximate
Nearest lower square
4096
Nearest higher square
4225
Nearest lower cube
4096
Nearest higher cube
4913
What are the digit properties of 4200?
Which numbers are related to 4200?
Why these results are true
- 4200 is composite because it has positive divisors other than 1 and itself.
- 4200 is abundant because the sum of its proper divisors (10680) is greater than 4200.
Compare this number
FAQ for 4200
- Is 4200 prime?
- No
- What is the prime factorization of 4200?
- 2³ × 3 × 5² × 7
- Is 4200 a perfect square?
- No
- What is 4200 in binary?
- 1000001101000