The number 13082
13082 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 211. Divisors (8): 1, 2, 31, 62, 211, 422, 6541, 13082.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13082 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13082 is composite. Its prime factorisation is
- 3
The divisors add up to 20352; without 13082 itself that is 7270, so 13082 is deficient (7270 is less than 13082). Euler's totient φ(13082) = 6300 numbers up to 13082 share no factor with it.
- 4
The digits of 13082 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13082 = 2 \times 31 \times 211 \]
13082 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20352 |
| Euler totient φ(n) | 6300 |
| Square | 171138724 |
| Cube | 2238836787368 |
| Square root | 114.376571 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3082 × |
13082 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and eighty-two |
| Binary (base 2) | 11001100011010 |
| Octal (base 8) | 31432 |
| Hexadecimal (base 16) | 331A |
| Base 3 | 122221112 |
| As time | 13082 seconds = 3 h 38 min 2 s |
Is 13082 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13082 ÷ 2 = 6541) | 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 6) | 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 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 3) | 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 13082 a prime number?
No. 13082 = 2 × 31 × 211, so it is divisible by 2.
What are the factors of 13082?
1, 2, 31, 62, 211, 422, 6541, 13082.
What is 13082 in binary?
11001100011010 (hexadecimal 331A, octal 31432).
What is the square root of 13082?
About 114.3766.
Is 13082 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13082?
It is a composite number with 8 divisors.