The number 67011
67011 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3191. Divisors (8): 1, 3, 7, 21, 3191, 9573, 22337, 67011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67011 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67011 is composite. Its prime factorisation is
- 3
The divisors add up to 102144; without 67011 itself that is 35133, so 67011 is deficient (35133 is less than 67011). Euler's totient φ(67011) = 38280 numbers up to 67011 share no factor with it.
- 4
The digits of 67011 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67011 = 3 \times 7 \times 3191 \]
67011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 102144 |
| Euler totient φ(n) | 38280 |
| Square | 4490474121 |
| Cube | 300911161322331 |
| Square root | 258.864830 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 6.7011 × |
67011 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and eleven |
| Binary (base 2) | 10000010111000011 |
| Octal (base 8) | 202703 |
| Hexadecimal (base 16) | 105C3 |
| Base 3 | 10101220220 |
| As time | 67011 seconds = 18 h 36 min 51 s |
Is 67011 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 (67011 ÷ 3 = 22337) | 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 | Yes (67011 ÷ 7 = 9573) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | 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 67011 a prime number?
No. 67011 = 3 × 7 × 3191, so it is divisible by 3.
What are the factors of 67011?
1, 3, 7, 21, 3191, 9573, 22337, 67011.
What is 67011 in binary?
10000010111000011 (hexadecimal 105C3, octal 202703).
What is the square root of 67011?
About 258.8648.
Is 67011 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 67011?
It is a composite number with 8 divisors.