The number 13982
13982 is a composite number with 4 divisors. Its prime factorisation is 2 × 6991. Divisors (4): 1, 2, 6991, 13982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13982: a semiprime: 2 × 6991, the product of two primes.
- 2
13982 is composite. Its prime factorisation is
- 3
The divisors add up to 20976; without 13982 itself that is 6994, so 13982 is deficient (6994 is less than 13982). Euler's totient φ(13982) = 6990 numbers up to 13982 share no factor with it.
- 4
The digits of 13982 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13982 = 2 \times 6991 \]
13982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20976 |
| Euler totient φ(n) | 6990 |
| Square | 195496324 |
| Cube | 2733429602168 |
| Square root | 118.245507 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3982 × |
13982 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and eighty-two |
| Binary (base 2) | 11011010011110 |
| Octal (base 8) | 33236 |
| Hexadecimal (base 16) | 369E |
| Base 3 | 201011212 |
| As time | 13982 seconds = 3 h 53 min 2 s |
Is 13982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13982 ÷ 2 = 6991) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 13982 a prime number?
No. 13982 = 2 × 6991, so it is divisible by 2.
What are the factors of 13982?
1, 2, 6991, 13982.
What is 13982 in binary?
11011010011110 (hexadecimal 369E, octal 33236).
What is the square root of 13982?
About 118.2455.
Is 13982 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13982?
13982 is a semiprime: 2 × 6991, the product of two primes.