The number 10065
10065 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 61. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10065 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10065 is composite. Its prime factorisation is
- 3
The divisors add up to 17856; without 10065 itself that is 7791, so 10065 is deficient (7791 is less than 10065). Euler's totient φ(10065) = 4800 numbers up to 10065 share no factor with it.
- 4
The digits of 10065 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10065 = 3 \times 5 \times 11 \times 61 \]
10065 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17856 |
| Euler totient φ(n) | 4800 |
| Square | 101304225 |
| Cube | 1019627024625 |
| Square root | 100.324474 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0065 × |
10065 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and sixty-five |
| Binary (base 2) | 10011101010001 |
| Octal (base 8) | 23521 |
| Hexadecimal (base 16) | 2751 |
| Base 3 | 111210210 |
| As time | 10065 seconds = 2 h 47 min 45 s |
Is 10065 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 (10065 ÷ 3 = 3355) | 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 (10065 ÷ 5 = 2013) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (10065 ÷ 11 = 915) | 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 10065 a prime number?
No. 10065 = 3 × 5 × 11 × 61, so it is divisible by 3.
What are the factors of 10065?
1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355, 10065.
What is 10065 in binary?
10011101010001 (hexadecimal 2751, octal 23521).
What is the square root of 10065?
About 100.3245.
Is 10065 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10065?
It is a composite number with 16 divisors.