13008
Number 13008: Properties, Factors, and Mathematical Facts
Short answer
The number 13008 is an even composite number with 20 positive divisors. Its prime factorization is 2⁴ × 3 × 271. It is also an abundant number, which gives it several notable mathematical relationships.
Is 13008 prime?
ClassificationCompositeParityEvenDivisor count20AbundanceAbundant
What is the prime factorization of 13008?
Prime factorization
2 to the power of 4 times 3 times 271
What are the divisors of 13008?
Divisor count
20
Divisor sum
33,728
Proper divisor sum
20,720
- 1
- 2
- 3
- 4
- 6
- 8
- 12
- 16
- 24
- 48
- 271
- 542
- 813
- 1084
- 1626
- 2168
- 3252
- 4336
- 6504
- 13008
How is 13008 classified?
How is 13008 represented in other numeral systems?
Decimal
13008
Binary
11001011010000
Octal
31320
Hexadecimal
32D0
Roman
No conventional Roman numeral
In words
thirteen thousand eight
Roots and powers
Square root
114.052619 Approximate
Cube root
23.518169 Approximate
Nearest lower square
12996
Nearest higher square
13225
Nearest lower cube
12167
Nearest higher cube
13824
What are the digit properties of 13008?
Which numbers are related to 13008?
Why these results are true
- 13008 is composite because it has positive divisors other than 1 and itself.
- 13008 is abundant because the sum of its proper divisors (20720) is greater than 13008.
Compare this number
FAQ for 13008
- Is 13008 prime?
- No
- What is the prime factorization of 13008?
- 2⁴ × 3 × 271
- Is 13008 a perfect square?
- No
- What is 13008 in binary?
- 11001011010000