5004
Number 5004: Properties, Factors, and Mathematical Facts
Short answer
The number 5004 is an even composite number with 18 positive divisors. Its prime factorization is 2² × 3² × 139. It is also an abundant number, which gives it several notable mathematical relationships.
Is 5004 prime?
ClassificationCompositeParityEvenDivisor count18AbundanceAbundant
What is the prime factorization of 5004?
Prime factorization
2 squared times 3 squared times 139
What are the divisors of 5004?
Divisor count
18
Divisor sum
12,740
Proper divisor sum
7,736
- 1
- 2
- 3
- 4
- 6
- 9
- 12
- 18
- 36
- 139
- 278
- 417
- 556
- 834
- 1251
- 1668
- 2502
- 5004
How is 5004 classified?
How is 5004 represented in other numeral systems?
Decimal
5004
Binary
1001110001100
Octal
11614
Hexadecimal
138C
Roman
No conventional Roman numeral
In words
five thousand four
Roots and powers
Square root
70.738957 Approximate
Cube root
17.104318 Approximate
Nearest lower square
4900
Nearest higher square
5041
Nearest lower cube
4913
Nearest higher cube
5832
What are the digit properties of 5004?
Which numbers are related to 5004?
Why these results are true
- 5004 is composite because it has positive divisors other than 1 and itself.
- 5004 is abundant because the sum of its proper divisors (7736) is greater than 5004.
Compare this number
FAQ for 5004
- Is 5004 prime?
- No
- What is the prime factorization of 5004?
- 2² × 3² × 139
- Is 5004 a perfect square?
- No
- What is 5004 in binary?
- 1001110001100