The number 13382
13382 is a composite number with 4 divisors. Its prime factorisation is 2 × 6691. Divisors (4): 1, 2, 6691, 13382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13382: a semiprime: 2 × 6691, the product of two primes.
- 2
13382 is composite. Its prime factorisation is
- 3
The divisors add up to 20076; without 13382 itself that is 6694, so 13382 is deficient (6694 is less than 13382). Euler's totient φ(13382) = 6690 numbers up to 13382 share no factor with it.
- 4
The digits of 13382 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13382 = 2 \times 6691 \]
13382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20076 |
| Euler totient φ(n) | 6690 |
| Square | 179077924 |
| Cube | 2396420778968 |
| Square root | 115.680595 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3382 × |
13382 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eighty-two |
| Binary (base 2) | 11010001000110 |
| Octal (base 8) | 32106 |
| Hexadecimal (base 16) | 3446 |
| Base 3 | 200100122 |
| As time | 13382 seconds = 3 h 43 min 2 s |
Is 13382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13382 ÷ 2 = 6691) | 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 5) | 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 8) | 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 6) | 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 13382 a prime number?
No. 13382 = 2 × 6691, so it is divisible by 2.
What are the factors of 13382?
1, 2, 6691, 13382.
What is 13382 in binary?
11010001000110 (hexadecimal 3446, octal 32106).
What is the square root of 13382?
About 115.6806.
Is 13382 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13382?
13382 is a semiprime: 2 × 6691, the product of two primes.