The number 4165
4165 is a composite number with 12 divisors. Its prime factorisation is 5 × × 17. Divisors (12): 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4165 is composite. Its prime factorisation is
- 3
The divisors add up to 6156; without 4165 itself that is 1991, so 4165 is deficient (1991 is less than 4165). Euler's totient φ(4165) = 2688 numbers up to 4165 share no factor with it.
- 4
The digits of 4165 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4165 = 5 \times 7^{2} \times 17 \]4165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6156 |
| Euler totient φ(n) | 2688 |
| Square | 17347225 |
| Cube | 72251192125 |
| Square root | 64.536811 (= 7√85) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.165 × |
4165 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and sixty-five |
| Binary (base 2) | 1000001000101 |
| Octal (base 8) | 10105 |
| Hexadecimal (base 16) | 1045 |
| Base 3 | 12201021 |
| As time | 4165 seconds = 1 h 9 min 25 s |
Is 4165 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 (4165 ÷ 5 = 833) | 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 | Yes (4165 ÷ 7 = 595) | 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 7) | 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 7) | 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 4165 a prime number?
No. 4165 = 5 × × 17, so it is divisible by 5.
What are the factors of 4165?
1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165.
What is 4165 in binary?
1000001000101 (hexadecimal 1045, octal 10105).
What is the square root of 4165?
About 64.5368, exactly 7√85.
Is 4165 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4165?
It is a composite number with 12 divisors.