The number 13068
13068 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66 … 13068.
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How to work it out
- 1
What is special about 13068: a Harshad number: divisible by its digit sum 18.
- 2
13068 is composite. Its prime factorisation is
- 3
The divisors add up to 37240; without 13068 itself that is 24172, so 13068 is abundant (24172 is more than 13068). Euler's totient φ(13068) = 3960 numbers up to 13068 share no factor with it.
- 4
The digits of 13068 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13068 = 2^{2} \times 3^{3} \times 11^{2} \]13068 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 37240 |
| Euler totient φ(n) | 3960 |
| Square | 170772624 |
| Cube | 2231656650432 |
| Square root | 114.315353 (= 66√3) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3068 × |
13068 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and sixty-eight |
| Binary (base 2) | 11001100001100 |
| Octal (base 8) | 31414 |
| Hexadecimal (base 16) | 330C |
| Base 3 | 122221000 |
| As time | 13068 seconds = 3 h 37 min 48 s |
Is 13068 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13068 ÷ 2 = 6534) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13068 ÷ 3 = 4356) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13068 ÷ 4 = 3267) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13068 ÷ 6 = 2178) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13068 ÷ 9 = 1452) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13068 ÷ 11 = 1188) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13068 ÷ 12 = 1089) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13068 a prime number?
No. 13068 = × × , so it is divisible by 2.
What are the factors of 13068?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 121, 132, 198, 242, 297, 363, 396, 484, 594, 726, 1089, 1188, 1452, 2178, 3267, 4356, 6534, 13068.
What is 13068 in binary?
11001100001100 (hexadecimal 330C, octal 31414).
What is the square root of 13068?
About 114.3154, exactly 66√3.
Is 13068 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13068?
13068 is a Harshad number: divisible by its digit sum 18.