The number 13182
13182 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × . Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014, 2197, 4394, 6591, 13182.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13182: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13182 is composite. Its prime factorisation is
- 3
The divisors add up to 28560; without 13182 itself that is 15378, so 13182 is abundant (15378 is more than 13182). Euler's totient φ(13182) = 4056 numbers up to 13182 share no factor with it.
- 4
The digits of 13182 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 244 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13182 = 2 \times 3 \times 13^{3} \]13182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28560 |
| Euler totient φ(n) | 4056 |
| Square | 173765124 |
| Cube | 2290571864568 |
| Square root | 114.812891 (= 13√78) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 244 |
| Scientific notation | 1.3182 × |
13182 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and eighty-two |
| Binary (base 2) | 11001101111110 |
| Octal (base 8) | 31576 |
| Hexadecimal (base 16) | 337E |
| Base 3 | 200002020 |
| As time | 13182 seconds = 3 h 39 min 42 s |
Is 13182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13182 ÷ 2 = 6591) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13182 ÷ 3 = 4394) | 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 | Yes (13182 ÷ 6 = 2197) | 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 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13182 a prime number?
No. 13182 = 2 × 3 × , so it is divisible by 2.
What are the factors of 13182?
1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014, 2197, 4394, 6591, 13182.
What is 13182 in binary?
11001101111110 (hexadecimal 337E, octal 31576).
What is the square root of 13182?
About 114.8129, exactly 13√78.
Is 13182 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13182?
13182 is a happy number: repeatedly adding the squares of its digits reaches 1.