The number 13065
13065 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 67. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 67, 195, 201, 335, 871, 1005, 2613, 4355, 13065.
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How to work it out
- 1
What is special about 13065: a Harshad number: divisible by its digit sum 15.
- 2
13065 is composite. Its prime factorisation is
- 3
The divisors add up to 22848; without 13065 itself that is 9783, so 13065 is deficient (9783 is less than 13065). Euler's totient φ(13065) = 6336 numbers up to 13065 share no factor with it.
- 4
The digits of 13065 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13065 = 3 \times 5 \times 13 \times 67 \]
13065 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 22848 |
| Euler totient φ(n) | 6336 |
| Square | 170694225 |
| Cube | 2230120049625 |
| Square root | 114.302231 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3065 × |
13065 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and sixty-five |
| Binary (base 2) | 11001100001001 |
| Octal (base 8) | 31411 |
| Hexadecimal (base 16) | 3309 |
| Base 3 | 122220220 |
| As time | 13065 seconds = 3 h 37 min 45 s |
Is 13065 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13065 ÷ 3 = 4355) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13065 ÷ 5 = 2613) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13065 a prime number?
No. 13065 = 3 × 5 × 13 × 67, so it is divisible by 3.
What are the factors of 13065?
1, 3, 5, 13, 15, 39, 65, 67, 195, 201, 335, 871, 1005, 2613, 4355, 13065.
What is 13065 in binary?
11001100001001 (hexadecimal 3309, octal 31411).
What is the square root of 13065?
About 114.3022.
Is 13065 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13065?
13065 is a Harshad number: divisible by its digit sum 15.