The number 12080
12080 is a composite number with 20 divisors. Its prime factorisation is × 5 × 151. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 151, 302, 604, 755, 1208, 1510 … 12080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12080 is composite. Its prime factorisation is
- 3
The divisors add up to 28272; without 12080 itself that is 16192, so 12080 is abundant (16192 is more than 12080). Euler's totient φ(12080) = 4800 numbers up to 12080 share no factor with it.
- 4
The digits of 12080 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12080 = 2^{4} \times 5 \times 151 \]12080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 28272 |
| Euler totient φ(n) | 4800 |
| Square | 145926400 |
| Cube | 1762790912000 |
| Square root | 109.909053 (= 4√755) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.208 × |
12080 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and eighty |
| Binary (base 2) | 10111100110000 |
| Octal (base 8) | 27460 |
| Hexadecimal (base 16) | 2F30 |
| Base 3 | 121120102 |
| As time | 12080 seconds = 3 h 21 min 20 s |
Is 12080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12080 ÷ 2 = 6040) | 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 (12080 ÷ 4 = 3020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12080 ÷ 5 = 2416) | 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 5) | 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 (12080 ÷ 8 = 1510) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12080 ÷ 10 = 1208) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12080 a prime number?
No. 12080 = × 5 × 151, so it is divisible by 2.
What are the factors of 12080?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 151, 302, 604, 755, 1208, 1510, 2416, 3020, 6040, 12080.
What is 12080 in binary?
10111100110000 (hexadecimal 2F30, octal 27460).
What is the square root of 12080?
About 109.9091, exactly 4√755.
Is 12080 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 12080?
It is a composite number with 20 divisors.