The number 18040
18040 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 41. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 41, 44, 55, 82, 88, 110 … 18040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18040 is composite. Its prime factorisation is
- 3
The divisors add up to 45360; without 18040 itself that is 27320, so 18040 is abundant (27320 is more than 18040). Euler's totient φ(18040) = 6400 numbers up to 18040 share no factor with it.
- 4
The digits of 18040 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18040 = 2^{3} \times 5 \times 11 \times 41 \]18040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 45360 |
| Euler totient φ(n) | 6400 |
| Square | 325441600 |
| Cube | 5870966464000 |
| Square root | 134.313067 (= 2√4510) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.804 × |
18040 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and forty |
| Binary (base 2) | 100011001111000 |
| Octal (base 8) | 43170 |
| Hexadecimal (base 16) | 4678 |
| Base 3 | 220202011 |
| As time | 18040 seconds = 5 h 0 min 40 s |
Is 18040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18040 ÷ 2 = 9020) | 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 (18040 ÷ 4 = 4510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18040 ÷ 5 = 3608) | 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 1) | 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 (18040 ÷ 8 = 2255) | 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 | Yes (18040 ÷ 10 = 1804) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18040 ÷ 11 = 1640) | 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 18040 a prime number?
No. 18040 = × 5 × 11 × 41, so it is divisible by 2.
What are the factors of 18040?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 41, 44, 55, 82, 88, 110, 164, 205, 220, 328, 410, 440, 451, 820, 902, 1640, 1804, 2255, 3608, 4510, 9020, 18040.
What is 18040 in binary?
100011001111000 (hexadecimal 4678, octal 43170).
What is the square root of 18040?
About 134.3131, exactly 2√4510.
Is 18040 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 18040?
It is a composite number with 32 divisors.