33124
Number 33124: Properties, Factors, and Mathematical Facts
Short answer
The number 33124 is an even composite number with 27 positive divisors. Its prime factorization is 2² × 7² × 13². It is also an abundant number and a perfect square, which gives it several notable mathematical relationships.
Is 33124 prime?
ClassificationCompositeParityEvenDivisor count27AbundanceAbundant
What is the prime factorization of 33124?
Prime factorization
2 squared times 7 squared times 13 squared
What are the divisors of 33124?
Divisor count
27
Divisor sum
73,017
Proper divisor sum
39,893
- 1
- 2
- 4
- 7
- 13
- 14
- 26
- 28
- 49
- 52
- 91
- 98
- 169
- 182
- 196
- 338
- 364
- 637
- 676
- 1183
- 1274
- 2366
- 2548
- 4732
How is 33124 classified?
Prime
CompositeLearn more →
Perfect square
YesLearn more →
Perfect cube
No
Fibonacci
No
Triangular
No
Power of two
No
How is 33124 represented in other numeral systems?
Decimal
33124
Binary
1000000101100100
Octal
100544
Hexadecimal
8164
Roman
No conventional Roman numeral
In words
thirty three thousand one hundred twenty four
Roots and powers
Square root
182 Exact
Cube root
32.115468 Approximate
Nearest lower square
33124
Nearest higher square
33489
Nearest lower cube
32768
Nearest higher cube
35937
What are the digit properties of 33124?
Which numbers are related to 33124?
Why these results are true
- 33124 is composite because it has positive divisors other than 1 and itself.
- 33124 is abundant because the sum of its proper divisors (39893) is greater than 33124.
Compare this number
FAQ for 33124
- Is 33124 prime?
- No
- What is the prime factorization of 33124?
- 2² × 7² × 13²
- Is 33124 a perfect square?
- Yes
- What is 33124 in binary?
- 1000000101100100