The number 6080
6080 is a composite number with 28 divisors. Its prime factorisation is × 5 × 19. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95 … 6080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6080: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6080 is composite. Its prime factorisation is
- 3
The divisors add up to 15240; without 6080 itself that is 9160, so 6080 is abundant (9160 is more than 6080). Euler's totient φ(6080) = 2304 numbers up to 6080 share no factor with it.
- 4
The digits of 6080 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6080 = 2^{6} \times 5 \times 19 \]6080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 15240 |
| Euler totient φ(n) | 2304 |
| Square | 36966400 |
| Cube | 224755712000 |
| Square root | 77.974355 (= 8√95) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 6.08 × |
6080 in other forms
| Form | Value |
|---|---|
| In words | six thousand and eighty |
| Binary (base 2) | 1011111000000 |
| Octal (base 8) | 13700 |
| Hexadecimal (base 16) | 17C0 |
| Base 3 | 22100012 |
| As time | 6080 seconds = 1 h 41 min 20 s |
Is 6080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6080 ÷ 2 = 3040) | 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 (6080 ÷ 4 = 1520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6080 ÷ 5 = 1216) | 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 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 (6080 ÷ 8 = 760) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6080 ÷ 10 = 608) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 6080 a prime number?
No. 6080 = × 5 × 19, so it is divisible by 2.
What are the factors of 6080?
1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080.
What is 6080 in binary?
1011111000000 (hexadecimal 17C0, octal 13700).
What is the square root of 6080?
About 77.9744, exactly 8√95.
Is 6080 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 6080?
6080 is a happy number: repeatedly adding the squares of its digits reaches 1.