1584
Number 1584: Properties, Factors, and Mathematical Facts
Short answer
The number 1584 is an even composite number with 30 positive divisors. Its prime factorization is 2⁴ × 3² × 11. It is also an abundant number, which gives it several notable mathematical relationships.
Is 1584 prime?
ClassificationCompositeParityEvenDivisor count30AbundanceAbundant
What is the prime factorization of 1584?
Prime factorization
2 to the power of 4 times 3 squared times 11
What are the divisors of 1584?
Divisor count
30
Divisor sum
4,836
Proper divisor sum
3,252
- 1
- 2
- 3
- 4
- 6
- 8
- 9
- 11
- 12
- 16
- 18
- 22
- 24
- 33
- 36
- 44
- 48
- 66
- 72
- 88
- 99
- 132
- 144
- 176
How is 1584 classified?
How is 1584 represented in other numeral systems?
Decimal
1584
Binary
11000110000
Octal
3060
Hexadecimal
630
Roman
MDLXXXIVLearn more →
In words
one thousand five hundred eighty four
Roots and powers
Square root
39.799497 Approximate
Cube root
11.656953 Approximate
Nearest lower square
1521
Nearest higher square
1600
Nearest lower cube
1331
Nearest higher cube
1728
What are the digit properties of 1584?
Which numbers are related to 1584?
Why these results are true
- 1584 is composite because it has positive divisors other than 1 and itself.
- 1584 is abundant because the sum of its proper divisors (3252) is greater than 1584.
Compare this number
FAQ for 1584
- Is 1584 prime?
- No
- What is the prime factorization of 1584?
- 2⁴ × 3² × 11
- Is 1584 a perfect square?
- No
- What is 1584 in binary?
- 11000110000
- What is 1584 in Roman numerals?
- MDLXXXIV