32004
Number 32004: Properties, Factors, and Mathematical Facts
Short answer
The number 32004 is an even composite number with 36 positive divisors. Its prime factorization is 2² × 3² × 7 × 127. It is also an abundant number, which gives it several notable mathematical relationships.
Is 32004 prime?
ClassificationCompositeParityEvenDivisor count36AbundanceAbundant
What is the prime factorization of 32004?
Prime factorization
2 squared times 3 squared times 7 times 127
What are the divisors of 32004?
Divisor count
36
Divisor sum
93,184
Proper divisor sum
61,180
- 1
- 2
- 3
- 4
- 6
- 7
- 9
- 12
- 14
- 18
- 21
- 28
- 36
- 42
- 63
- 84
- 126
- 127
- 252
- 254
- 381
- 508
- 762
- 889
How is 32004 classified?
How is 32004 represented in other numeral systems?
Decimal
32004
Binary
111110100000100
Octal
76404
Hexadecimal
7D04
Roman
No conventional Roman numeral
In words
thirty two thousand four
Roots and powers
Square root
178.896618 Approximate
Cube root
31.749344 Approximate
Nearest lower square
31684
Nearest higher square
32041
Nearest lower cube
29791
Nearest higher cube
32768
What are the digit properties of 32004?
Which numbers are related to 32004?
Why these results are true
- 32004 is composite because it has positive divisors other than 1 and itself.
- 32004 is abundant because the sum of its proper divisors (61180) is greater than 32004.
Compare this number
FAQ for 32004
- Is 32004 prime?
- No
- What is the prime factorization of 32004?
- 2² × 3² × 7 × 127
- Is 32004 a perfect square?
- No
- What is 32004 in binary?
- 111110100000100