13788
Number 13788: Properties, Factors, and Mathematical Facts
Short answer
The number 13788 is an even composite number with 18 positive divisors. Its prime factorization is 2² × 3² × 383. It is also an abundant number, which gives it several notable mathematical relationships.
Is 13788 prime?
ClassificationCompositeParityEvenDivisor count18AbundanceAbundant
What is the prime factorization of 13788?
Prime factorization
2 squared times 3 squared times 383
What are the divisors of 13788?
Divisor count
18
Divisor sum
34,944
Proper divisor sum
21,156
- 1
- 2
- 3
- 4
- 6
- 9
- 12
- 18
- 36
- 383
- 766
- 1149
- 1532
- 2298
- 3447
- 4596
- 6894
- 13788
How is 13788 classified?
How is 13788 represented in other numeral systems?
Decimal
13788
Binary
11010111011100
Octal
32734
Hexadecimal
35DC
Roman
No conventional Roman numeral
In words
thirteen thousand seven hundred eighty eight
Roots and powers
Square root
117.422315 Approximate
Cube root
23.979149 Approximate
Nearest lower square
13689
Nearest higher square
13924
Nearest lower cube
12167
Nearest higher cube
13824
What are the digit properties of 13788?
Which numbers are related to 13788?
Why these results are true
- 13788 is composite because it has positive divisors other than 1 and itself.
- 13788 is abundant because the sum of its proper divisors (21156) is greater than 13788.
Compare this number
FAQ for 13788
- Is 13788 prime?
- No
- What is the prime factorization of 13788?
- 2² × 3² × 383
- Is 13788 a perfect square?
- No
- What is 13788 in binary?
- 11010111011100