The number 67067
67067 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 13 × 67. Divisors (16): 1, 7, 11, 13, 67, 77, 91, 143, 469, 737, 871, 1001, 5159, 6097, 9581, 67067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67067 is composite. Its prime factorisation is
- 3
The divisors add up to 91392; without 67067 itself that is 24325, so 67067 is deficient (24325 is less than 67067). Euler's totient φ(67067) = 47520 numbers up to 67067 share no factor with it.
- 4
The digits of 67067 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67067 = 7 \times 11 \times 13 \times 67 \]
67067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91392 |
| Euler totient φ(n) | 47520 |
| Square | 4497982489 |
| Cube | 301666191589763 |
| Square root | 258.972972 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7067 × |
67067 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and sixty-seven |
| Binary (base 2) | 10000010111111011 |
| Octal (base 8) | 202773 |
| Hexadecimal (base 16) | 105FB |
| Base 3 | 10101222222 |
| As time | 67067 seconds = 18 h 37 min 47 s |
Is 67067 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 | No (remainder 2) | 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 | Yes (67067 ÷ 7 = 9581) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67067 ÷ 11 = 6097) | 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 67067 a prime number?
No. 67067 = 7 × 11 × 13 × 67, so it is divisible by 7.
What are the factors of 67067?
1, 7, 11, 13, 67, 77, 91, 143, 469, 737, 871, 1001, 5159, 6097, 9581, 67067.
What is 67067 in binary?
10000010111111011 (hexadecimal 105FB, octal 202773).
What is the square root of 67067?
About 258.9730.
Is 67067 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67067?
It is a composite number with 16 divisors.