The number 67095
67095 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 71. Divisors (32): 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 71, 105, 135, 189, 213 … 67095.
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How to work it out
- 1
What is special about 67095: a Harshad number: divisible by its digit sum 27.
- 2
67095 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 67095 itself that is 71145, so 67095 is abundant (71145 is more than 67095). Euler's totient φ(67095) = 30240 numbers up to 67095 share no factor with it.
- 4
The digits of 67095 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67095 = 3^{3} \times 5 \times 7 \times 71 \]67095 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 30240 |
| Square | 4501739025 |
| Cube | 302044179882375 |
| Square root | 259.027026 (= 3√7455) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7095 × |
67095 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and ninety-five |
| Binary (base 2) | 10000011000010111 |
| Octal (base 8) | 203027 |
| Hexadecimal (base 16) | 10617 |
| Base 3 | 10102001000 |
| As time | 67095 seconds = 18 h 38 min 15 s |
Is 67095 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 (67095 ÷ 3 = 22365) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67095 ÷ 5 = 13419) | 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 | Yes (67095 ÷ 7 = 9585) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67095 ÷ 9 = 7455) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67095 a prime number?
No. 67095 = × 5 × 7 × 71, so it is divisible by 3.
What are the factors of 67095?
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 71, 105, 135, 189, 213, 315, 355, 497, 639, 945, 1065, 1491, 1917, 2485, 3195, 4473, 7455, 9585, 13419, 22365, 67095.
What is 67095 in binary?
10000011000010111 (hexadecimal 10617, octal 203027).
What is the square root of 67095?
About 259.0270, exactly 3√7455.
Is 67095 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67095?
67095 is a Harshad number: divisible by its digit sum 27.