The number 67775
67775 is a composite number with 6 divisors. Its prime factorisation is Ć 2711. Divisors (6): 1, 5, 25, 2711, 13555, 67775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67775: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67775 is composite. Its prime factorisation is
- 3
The divisors add up to 84072; without 67775 itself that is 16297, so 67775 is deficient (16297 is less than 67775). Euler's totient Ļ(67775) = 54200 numbers up to 67775 share no factor with it.
- 4
The digits of 67775 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67775 = 5^{2} \times 2711 \]67775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 84072 |
| Euler totient Ļ(n) | 54200 |
| Square | 4593450625 |
| Cube | 311321116109375 |
| Square root | 260.336321 (= 5ā2711) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7775 Ć |
67775 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and seventy-five |
| Binary (base 2) | 10000100010111111 |
| Octal (base 8) | 204277 |
| Hexadecimal (base 16) | 108BF |
| Base 3 | 10102222012 |
| As time | 67775 seconds = 18 h 49 min 35 s |
Is 67775 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67775 Ć· 5 = 13555) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67775 a prime number?
No. 67775 = Ć 2711, so it is divisible by 5.
What are the factors of 67775?
1, 5, 25, 2711, 13555, 67775.
What is 67775 in binary?
10000100010111111 (hexadecimal 108BF, octal 204277).
What is the square root of 67775?
About 260.3363, exactly 5ā2711.
Is 67775 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 67775?
67775 is a happy number: repeatedly adding the squares of its digits reaches 1.