The number 18064
18064 is a composite number with 10 divisors. Its prime factorisation is × 1129. Divisors (10): 1, 2, 4, 8, 16, 1129, 2258, 4516, 9032, 18064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18064 is composite. Its prime factorisation is
- 3
The divisors add up to 35030; without 18064 itself that is 16966, so 18064 is deficient (16966 is less than 18064). Euler's totient φ(18064) = 9024 numbers up to 18064 share no factor with it.
- 4
The digits of 18064 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18064 = 2^{4} \times 1129 \]18064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 35030 |
| Euler totient φ(n) | 9024 |
| Square | 326308096 |
| Cube | 5894429446144 |
| Square root | 134.402381 (= 4√1129) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8064 × |
18064 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and sixty-four |
| Binary (base 2) | 100011010010000 |
| Octal (base 8) | 43220 |
| Hexadecimal (base 16) | 4690 |
| Base 3 | 220210001 |
| As time | 18064 seconds = 5 h 1 min 4 s |
Is 18064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18064 ÷ 2 = 9032) | 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 | Yes (18064 ÷ 4 = 4516) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (18064 ÷ 8 = 2258) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18064 a prime number?
No. 18064 = × 1129, so it is divisible by 2.
What are the factors of 18064?
1, 2, 4, 8, 16, 1129, 2258, 4516, 9032, 18064.
What is 18064 in binary?
100011010010000 (hexadecimal 4690, octal 43220).
What is the square root of 18064?
About 134.4024, exactly 4√1129.
Is 18064 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 18064?
It is a composite number with 10 divisors.