The number 8165
8165 is a composite number with 8 divisors. Its prime factorisation is 5 × 23 × 71. Divisors (8): 1, 5, 23, 71, 115, 355, 1633, 8165.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8165 is composite. Its prime factorisation is
- 3
The divisors add up to 10368; without 8165 itself that is 2203, so 8165 is deficient (2203 is less than 8165). Euler's totient φ(8165) = 6160 numbers up to 8165 share no factor with it.
- 4
The digits of 8165 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8165 = 5 \times 23 \times 71 \]
8165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10368 |
| Euler totient φ(n) | 6160 |
| Square | 66667225 |
| Cube | 544337892125 |
| Square root | 90.360390 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.165 × |
8165 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and sixty-five |
| Binary (base 2) | 1111111100101 |
| Octal (base 8) | 17745 |
| Hexadecimal (base 16) | 1FE5 |
| Base 3 | 102012102 |
| As time | 8165 seconds = 2 h 16 min 5 s |
Is 8165 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 2) | 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 (8165 ÷ 5 = 1633) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8165 a prime number?
No. 8165 = 5 × 23 × 71, so it is divisible by 5.
What are the factors of 8165?
1, 5, 23, 71, 115, 355, 1633, 8165.
What is 8165 in binary?
1111111100101 (hexadecimal 1FE5, octal 17745).
What is the square root of 8165?
About 90.3604.
Is 8165 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8165?
It is a composite number with 8 divisors.