The number 18067
18067 is a composite number with 8 divisors. Its prime factorisation is 7 × 29 × 89. Divisors (8): 1, 7, 29, 89, 203, 623, 2581, 18067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18067 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 18067 itself that is 3533, so 18067 is deficient (3533 is less than 18067). Euler's totient φ(18067) = 14784 numbers up to 18067 share no factor with it.
- 4
The digits of 18067 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18067 = 7 \times 29 \times 89 \]
18067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 14784 |
| Square | 326416489 |
| Cube | 5897366706763 |
| Square root | 134.413541 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8067 × |
18067 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and sixty-seven |
| Binary (base 2) | 100011010010011 |
| Octal (base 8) | 43223 |
| Hexadecimal (base 16) | 4693 |
| Base 3 | 220210011 |
| As time | 18067 seconds = 5 h 1 min 7 s |
Is 18067 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18067 ÷ 7 = 2581) | 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 4) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18067 a prime number?
No. 18067 = 7 × 29 × 89, so it is divisible by 7.
What are the factors of 18067?
1, 7, 29, 89, 203, 623, 2581, 18067.
What is 18067 in binary?
100011010010011 (hexadecimal 4693, octal 43223).
What is the square root of 18067?
About 134.4135.
Is 18067 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 18067?
It is a composite number with 8 divisors.