2584
Number 2584: Properties, Factors, and Mathematical Facts
Short answer
The number 2584 is an even composite number with 16 positive divisors. Its prime factorization is 2³ × 17 × 19. It is also an abundant number and a Fibonacci number, which gives it several notable mathematical relationships.
Is 2584 prime?
ClassificationCompositeParityEvenDivisor count16AbundanceAbundant
What is the prime factorization of 2584?
Prime factorization
2 cubed times 17 times 19
What are the divisors of 2584?
Divisor count
16
Divisor sum
5,400
Proper divisor sum
2,816
- 1
- 2
- 4
- 8
- 17
- 19
- 34
- 38
- 68
- 76
- 136
- 152
- 323
- 646
- 1292
- 2584
How is 2584 classified?
Prime
CompositeLearn more →
Perfect square
No
Perfect cube
No
Fibonacci
YesLearn more →
Triangular
No
Power of two
No
How is 2584 represented in other numeral systems?
Decimal
2584
Binary
101000011000
Octal
5030
Hexadecimal
A18
Roman
MMDLXXXIVLearn more →
In words
two thousand five hundred eighty four
Roots and powers
Square root
50.833060 Approximate
Cube root
13.722424 Approximate
Nearest lower square
2500
Nearest higher square
2601
Nearest lower cube
2197
Nearest higher cube
2744
Sequence position
Fibonacci
Index: 18
What are the digit properties of 2584?
Which numbers are related to 2584?
Why these results are true
- 2584 is composite because it has positive divisors other than 1 and itself.
- 2584 is abundant because the sum of its proper divisors (2816) is greater than 2584.
Compare this number
FAQ for 2584
- Is 2584 prime?
- No
- What is the prime factorization of 2584?
- 2³ × 17 × 19
- Is 2584 a perfect square?
- No
- What is 2584 in binary?
- 101000011000
- What is 2584 in Roman numerals?
- MMDLXXXIV