The number 13994
13994 is a composite number with 4 divisors. Its prime factorisation is 2 × 6997. Divisors (4): 1, 2, 6997, 13994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13994: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6997, the product of two primes.
- 2
13994 is composite. Its prime factorisation is
- 3
The divisors add up to 20994; without 13994 itself that is 7000, so 13994 is deficient (7000 is less than 13994). Euler's totient φ(13994) = 6996 numbers up to 13994 share no factor with it.
- 4
The digits of 13994 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13994 = 2 \times 6997 \]
13994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20994 |
| Euler totient φ(n) | 6996 |
| Square | 195832036 |
| Cube | 2740473511784 |
| Square root | 118.296238 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3994 × |
13994 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and ninety-four |
| Binary (base 2) | 11011010101010 |
| Octal (base 8) | 33252 |
| Hexadecimal (base 16) | 36AA |
| Base 3 | 201012022 |
| As time | 13994 seconds = 3 h 53 min 14 s |
Is 13994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13994 ÷ 2 = 6997) | 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 1) | 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 8) | 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 2) | 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 13994 a prime number?
No. 13994 = 2 × 6997, so it is divisible by 2.
What are the factors of 13994?
1, 2, 6997, 13994.
What is 13994 in binary?
11011010101010 (hexadecimal 36AA, octal 33252).
What is the square root of 13994?
About 118.2962.
Is 13994 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13994?
13994 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6997, the product of two primes.