3200
Number 3200: Properties, Factors, and Mathematical Facts
Short answer
The number 3200 is an even composite number with 24 positive divisors. Its prime factorization is 2⁷ × 5². It is also an abundant number, which gives it several notable mathematical relationships.
Is 3200 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 3200?
Prime factorization
2 to the power of 7 times 5 squared
What are the divisors of 3200?
Divisor count
24
Divisor sum
7,905
Proper divisor sum
4,705
- 1
- 2
- 4
- 5
- 8
- 10
- 16
- 20
- 25
- 32
- 40
- 50
- 64
- 80
- 100
- 128
- 160
- 200
- 320
- 400
- 640
- 800
- 1600
- 3200
How is 3200 classified?
How is 3200 represented in other numeral systems?
Decimal
3200
Binary
110010000000
Octal
6200
Hexadecimal
C80
Roman
MMMCCLearn more →
In words
three thousand two hundred
Roots and powers
Square root
56.568542 Approximate
Cube root
14.736126 Approximate
Nearest lower square
3136
Nearest higher square
3249
Nearest lower cube
2744
Nearest higher cube
3375
What are the digit properties of 3200?
Which numbers are related to 3200?
Why these results are true
- 3200 is composite because it has positive divisors other than 1 and itself.
- 3200 is abundant because the sum of its proper divisors (4705) is greater than 3200.
Compare this number
FAQ for 3200
- Is 3200 prime?
- No
- What is the prime factorization of 3200?
- 2⁷ × 5²
- Is 3200 a perfect square?
- No
- What is 3200 in binary?
- 110010000000
- What is 3200 in Roman numerals?
- MMMCC