The number 18080
18080 is a composite number with 24 divisors. Its prime factorisation is × 5 × 113. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 113, 160, 226, 452, 565 … 18080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18080: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18080 is composite. Its prime factorisation is
- 3
The divisors add up to 43092; without 18080 itself that is 25012, so 18080 is abundant (25012 is more than 18080). Euler's totient φ(18080) = 7168 numbers up to 18080 share no factor with it.
- 4
The digits of 18080 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18080 = 2^{5} \times 5 \times 113 \]18080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 43092 |
| Euler totient φ(n) | 7168 |
| Square | 326886400 |
| Cube | 5910106112000 |
| Square root | 134.461891 (= 4√1130) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 22 |
| Scientific notation | 1.808 × |
18080 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and eighty |
| Binary (base 2) | 100011010100000 |
| Octal (base 8) | 43240 |
| Hexadecimal (base 16) | 46A0 |
| Base 3 | 220210122 |
| As time | 18080 seconds = 5 h 1 min 20 s |
Is 18080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18080 ÷ 2 = 9040) | 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 | Yes (18080 ÷ 4 = 4520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18080 ÷ 5 = 3616) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (18080 ÷ 8 = 2260) | 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 | Yes (18080 ÷ 10 = 1808) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18080 a prime number?
No. 18080 = × 5 × 113, so it is divisible by 2.
What are the factors of 18080?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 113, 160, 226, 452, 565, 904, 1130, 1808, 2260, 3616, 4520, 9040, 18080.
What is 18080 in binary?
100011010100000 (hexadecimal 46A0, octal 43240).
What is the square root of 18080?
About 134.4619, exactly 4√1130.
Is 18080 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 18080?
18080 is a happy number: repeatedly adding the squares of its digits reaches 1.