The number 13394
13394 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 181. Divisors (8): 1, 2, 37, 74, 181, 362, 6697, 13394.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13394 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13394 is composite. Its prime factorisation is
- 3
The divisors add up to 20748; without 13394 itself that is 7354, so 13394 is deficient (7354 is less than 13394). Euler's totient φ(13394) = 6480 numbers up to 13394 share no factor with it.
- 4
The digits of 13394 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13394 = 2 \times 37 \times 181 \]
13394 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20748 |
| Euler totient φ(n) | 6480 |
| Square | 179399236 |
| Cube | 2402873366984 |
| Square root | 115.732450 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3394 × |
13394 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and ninety-four |
| Binary (base 2) | 11010001010010 |
| Octal (base 8) | 32122 |
| Hexadecimal (base 16) | 3452 |
| Base 3 | 200101002 |
| As time | 13394 seconds = 3 h 43 min 14 s |
Is 13394 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13394 ÷ 2 = 6697) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13394 a prime number?
No. 13394 = 2 × 37 × 181, so it is divisible by 2.
What are the factors of 13394?
1, 2, 37, 74, 181, 362, 6697, 13394.
What is 13394 in binary?
11010001010010 (hexadecimal 3452, octal 32122).
What is the square root of 13394?
About 115.7325.
Is 13394 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13394?
It is a composite number with 8 divisors.