The number 3080
3080 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 11. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55 … 3080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3080: a Harshad number: divisible by its digit sum 11.
- 2
3080 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 3080 itself that is 5560, so 3080 is abundant (5560 is more than 3080). Euler's totient φ(3080) = 960 numbers up to 3080 share no factor with it.
- 4
The digits of 3080 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3080 = 2^{3} \times 5 \times 7 \times 11 \]3080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 960 |
| Square | 9486400 |
| Cube | 29218112000 |
| Square root | 55.497748 (= 2√770) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.08 × |
3080 in other forms
| Form | Value |
|---|---|
| In words | three thousand and eighty |
| Roman numerals | MMMLXXX |
| Binary (base 2) | 110000001000 |
| Octal (base 8) | 6010 |
| Hexadecimal (base 16) | C08 |
| Base 3 | 11020002 |
| As time | 3080 seconds = 51 min 20 s |
Is 3080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3080 ÷ 2 = 1540) | 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 (3080 ÷ 4 = 770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3080 ÷ 5 = 616) | 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 | Yes (3080 ÷ 7 = 440) | 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 (3080 ÷ 8 = 385) | 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 (3080 ÷ 10 = 308) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3080 ÷ 11 = 280) | 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 3080 a prime number?
No. 3080 = × 5 × 7 × 11, so it is divisible by 2.
What are the factors of 3080?
1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080.
What is 3080 in binary?
110000001000 (hexadecimal C08, octal 6010).
What is the square root of 3080?
About 55.4977, exactly 2√770.
What is 3080 in Roman numerals?
MMMLXXX.
Is 3080 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3080?
3080 is a Harshad number: divisible by its digit sum 11.