8001
Number 8001: Properties, Factors, and Mathematical Facts
Short answer
The number 8001 is an odd composite number with 12 positive divisors. Its prime factorization is 3² × 7 × 127. It is also a deficient number and a triangular number, which gives it several notable mathematical relationships.
Is 8001 prime?
ClassificationCompositeParityOddDivisor count12AbundanceDeficient
What is the prime factorization of 8001?
Prime factorization
3 squared times 7 times 127
What are the divisors of 8001?
Divisor count
12
Divisor sum
13,312
Proper divisor sum
5,311
- 1
- 3
- 7
- 9
- 21
- 63
- 127
- 381
- 889
- 1143
- 2667
- 8001
How is 8001 classified?
Prime
CompositeLearn more →
Perfect square
No
Perfect cube
No
Fibonacci
No
Triangular
YesLearn more →
Power of two
No
How is 8001 represented in other numeral systems?
Decimal
8001
Binary
1111101000001
Octal
17501
Hexadecimal
1F41
Roman
No conventional Roman numeral
In words
eight thousand one
Roots and powers
Square root
89.448309 Approximate
Cube root
20.000833 Approximate
Nearest lower square
7921
Nearest higher square
8100
Nearest lower cube
8000
Nearest higher cube
9261
Sequence position
Triangular
Index: 126
What are the digit properties of 8001?
Which numbers are related to 8001?
Why these results are true
- 8001 is composite because it has positive divisors other than 1 and itself.
- 8001 is triangular because it equals 126×(126+1)/2.
Compare this number
FAQ for 8001
- Is 8001 prime?
- No
- What is the prime factorization of 8001?
- 3² × 7 × 127
- Is 8001 a perfect square?
- No
- What is 8001 in binary?
- 1111101000001