1824
Number 1824: Properties, Factors, and Mathematical Facts
Short answer
The number 1824 is an even composite number with 24 positive divisors. Its prime factorization is 2⁵ × 3 × 19. It is also an abundant number, which gives it several notable mathematical relationships.
Is 1824 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 1824?
Prime factorization
2 to the power of 5 times 3 times 19
What are the divisors of 1824?
Divisor count
24
Divisor sum
5,040
Proper divisor sum
3,216
- 1
- 2
- 3
- 4
- 6
- 8
- 12
- 16
- 19
- 24
- 32
- 38
- 48
- 57
- 76
- 96
- 114
- 152
- 228
- 304
- 456
- 608
- 912
- 1824
How is 1824 classified?
How is 1824 represented in other numeral systems?
Decimal
1824
Binary
11100100000
Octal
3440
Hexadecimal
720
Roman
MDCCCXXIVLearn more →
In words
one thousand eight hundred twenty four
Roots and powers
Square root
42.708313 Approximate
Cube root
12.218229 Approximate
Nearest lower square
1764
Nearest higher square
1849
Nearest lower cube
1728
Nearest higher cube
2197
What are the digit properties of 1824?
Which numbers are related to 1824?
Why these results are true
- 1824 is composite because it has positive divisors other than 1 and itself.
- 1824 is abundant because the sum of its proper divisors (3216) is greater than 1824.
Compare this number
FAQ for 1824
- Is 1824 prime?
- No
- What is the prime factorization of 1824?
- 2⁵ × 3 × 19
- Is 1824 a perfect square?
- No
- What is 1824 in binary?
- 11100100000
- What is 1824 in Roman numerals?
- MDCCCXXIV