The number 13794
13794 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 19. Divisors (24): 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 121, 209, 242, 363 … 13794.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13794 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13794 is composite. Its prime factorisation is
- 3
The divisors add up to 31920; without 13794 itself that is 18126, so 13794 is abundant (18126 is more than 13794). Euler's totient φ(13794) = 3960 numbers up to 13794 share no factor with it.
- 4
The digits of 13794 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13794 = 2 \times 3 \times 11^{2} \times 19 \]13794 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31920 |
| Euler totient φ(n) | 3960 |
| Square | 190274436 |
| Cube | 2624645570184 |
| Square root | 117.447861 (= 11√114) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3794 × |
13794 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and ninety-four |
| Binary (base 2) | 11010111100010 |
| Octal (base 8) | 32742 |
| Hexadecimal (base 16) | 35E2 |
| Base 3 | 200220220 |
| As time | 13794 seconds = 3 h 49 min 54 s |
Is 13794 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13794 ÷ 2 = 6897) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13794 ÷ 3 = 4598) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13794 ÷ 6 = 2299) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13794 ÷ 11 = 1254) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13794 a prime number?
No. 13794 = 2 × 3 × × 19, so it is divisible by 2.
What are the factors of 13794?
1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 121, 209, 242, 363, 418, 627, 726, 1254, 2299, 4598, 6897, 13794.
What is 13794 in binary?
11010111100010 (hexadecimal 35E2, octal 32742).
What is the square root of 13794?
About 117.4479, exactly 11√114.
Is 13794 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13794?
It is a composite number with 24 divisors.