The number 10165
10165 is a composite number with 8 divisors. Its prime factorisation is 5 × 19 × 107. Divisors (8): 1, 5, 19, 95, 107, 535, 2033, 10165.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10165 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 10165 itself that is 2795, so 10165 is deficient (2795 is less than 10165). Euler's totient φ(10165) = 7632 numbers up to 10165 share no factor with it.
- 4
The digits of 10165 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10165 = 5 \times 19 \times 107 \]
10165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 7632 |
| Square | 103327225 |
| Cube | 1050321242125 |
| Square root | 100.821625 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.0165 × |
10165 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and sixty-five |
| Binary (base 2) | 10011110110101 |
| Octal (base 8) | 23665 |
| Hexadecimal (base 16) | 27B5 |
| Base 3 | 111221111 |
| As time | 10165 seconds = 2 h 49 min 25 s |
Is 10165 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 | No (remainder 1) | 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 (10165 ÷ 5 = 2033) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10165 a prime number?
No. 10165 = 5 × 19 × 107, so it is divisible by 5.
What are the factors of 10165?
1, 5, 19, 95, 107, 535, 2033, 10165.
What is 10165 in binary?
10011110110101 (hexadecimal 27B5, octal 23665).
What is the square root of 10165?
About 100.8216.
Is 10165 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10165?
It is a composite number with 8 divisors.