The number 13966
13966 is a composite number with 4 divisors. Its prime factorisation is 2 × 6983. Divisors (4): 1, 2, 6983, 13966.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13966: a semiprime: 2 × 6983, the product of two primes.
- 2
13966 is composite. Its prime factorisation is
- 3
The divisors add up to 20952; without 13966 itself that is 6986, so 13966 is deficient (6986 is less than 13966). Euler's totient φ(13966) = 6982 numbers up to 13966 share no factor with it.
- 4
The digits of 13966 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13966 = 2 \times 6983 \]
13966 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20952 |
| Euler totient φ(n) | 6982 |
| Square | 195049156 |
| Cube | 2724056512696 |
| Square root | 118.177832 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3966 × |
13966 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and sixty-six |
| Binary (base 2) | 11011010001110 |
| Octal (base 8) | 33216 |
| Hexadecimal (base 16) | 368E |
| Base 3 | 201011021 |
| As time | 13966 seconds = 3 h 52 min 46 s |
Is 13966 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13966 ÷ 2 = 6983) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13966 a prime number?
No. 13966 = 2 × 6983, so it is divisible by 2.
What are the factors of 13966?
1, 2, 6983, 13966.
What is 13966 in binary?
11011010001110 (hexadecimal 368E, octal 33216).
What is the square root of 13966?
About 118.1778.
Is 13966 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13966?
13966 is a semiprime: 2 × 6983, the product of two primes.