The number 67165
67165 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 19 × 101. Divisors (16): 1, 5, 7, 19, 35, 95, 101, 133, 505, 665, 707, 1919, 3535, 9595, 13433, 67165.
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How to work it out
- 1
67165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67165 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 67165 itself that is 30755, so 67165 is deficient (30755 is less than 67165). Euler's totient φ(67165) = 43200 numbers up to 67165 share no factor with it.
- 4
The digits of 67165 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67165 = 5 \times 7 \times 19 \times 101 \]
67165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 43200 |
| Square | 4511137225 |
| Cube | 302990531717125 |
| Square root | 259.162111 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7165 × |
67165 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and sixty-five |
| Binary (base 2) | 10000011001011101 |
| Octal (base 8) | 203135 |
| Hexadecimal (base 16) | 1065D |
| Base 3 | 10102010121 |
| As time | 67165 seconds = 18 h 39 min 25 s |
Is 67165 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 (67165 ÷ 5 = 13433) | 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 (67165 ÷ 7 = 9595) | 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 10) | 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 67165 a prime number?
No. 67165 = 5 × 7 × 19 × 101, so it is divisible by 5.
What are the factors of 67165?
1, 5, 7, 19, 35, 95, 101, 133, 505, 665, 707, 1919, 3535, 9595, 13433, 67165.
What is 67165 in binary?
10000011001011101 (hexadecimal 1065D, octal 203135).
What is the square root of 67165?
About 259.1621.
Is 67165 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67165?
It is a composite number with 16 divisors.