The number 67311
67311 is a composite number with 12 divisors. Its prime factorisation is × 277. Divisors (12): 1, 3, 9, 27, 81, 243, 277, 831, 2493, 7479, 22437, 67311.
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How to work it out
- 1
67311 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67311 is composite. Its prime factorisation is
- 3
The divisors add up to 101192; without 67311 itself that is 33881, so 67311 is deficient (33881 is less than 67311). Euler's totient φ(67311) = 44712 numbers up to 67311 share no factor with it.
- 4
The digits of 67311 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67311 = 3^{5} \times 277 \]67311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 101192 |
| Euler totient φ(n) | 44712 |
| Square | 4530770721 |
| Cube | 304970708001231 |
| Square root | 259.443635 (= 9√831) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7311 × |
67311 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and eleven |
| Binary (base 2) | 10000011011101111 |
| Octal (base 8) | 203357 |
| Hexadecimal (base 16) | 106EF |
| Base 3 | 10102100000 |
| As time | 67311 seconds = 18 h 41 min 51 s |
Is 67311 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 (67311 ÷ 3 = 22437) | 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 | No (remainder 1) | 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 | No (remainder 6) | 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 (67311 ÷ 9 = 7479) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 67311 a prime number?
No. 67311 = × 277, so it is divisible by 3.
What are the factors of 67311?
1, 3, 9, 27, 81, 243, 277, 831, 2493, 7479, 22437, 67311.
What is 67311 in binary?
10000011011101111 (hexadecimal 106EF, octal 203357).
What is the square root of 67311?
About 259.4436, exactly 9√831.
Is 67311 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67311?
It is a composite number with 12 divisors.