1504
Number 1504: Properties, Factors, and Mathematical Facts
Short answer
The number 1504 is an even composite number with 12 positive divisors. Its prime factorization is 2⁵ × 47. It is also an abundant number, which gives it several notable mathematical relationships.
Is 1504 prime?
ClassificationCompositeParityEvenDivisor count12AbundanceAbundant
What is the prime factorization of 1504?
Prime factorization
2 to the power of 5 times 47
What are the divisors of 1504?
Divisor count
12
Divisor sum
3,024
Proper divisor sum
1,520
- 1
- 2
- 4
- 8
- 16
- 32
- 47
- 94
- 188
- 376
- 752
- 1504
How is 1504 classified?
How is 1504 represented in other numeral systems?
Decimal
1504
Binary
10111100000
Octal
2740
Hexadecimal
5E0
Roman
MDIVLearn more →
In words
one thousand five hundred four
Roots and powers
Square root
38.781439 Approximate
Cube root
11.457309 Approximate
Nearest lower square
1444
Nearest higher square
1521
Nearest lower cube
1331
Nearest higher cube
1728
What are the digit properties of 1504?
Which numbers are related to 1504?
Why these results are true
- 1504 is composite because it has positive divisors other than 1 and itself.
- 1504 is abundant because the sum of its proper divisors (1520) is greater than 1504.
Compare this number
FAQ for 1504
- Is 1504 prime?
- No
- What is the prime factorization of 1504?
- 2⁵ × 47
- Is 1504 a perfect square?
- No
- What is 1504 in binary?
- 10111100000
- What is 1504 in Roman numerals?
- MDIV