The number 3060
3060 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 17. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36 … 3060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3060: a Harshad number: divisible by its digit sum 9.
- 2
3060 is composite. Its prime factorisation is
- 3
The divisors add up to 9828; without 3060 itself that is 6768, so 3060 is abundant (6768 is more than 3060). Euler's totient φ(3060) = 768 numbers up to 3060 share no factor with it.
- 4
The digits of 3060 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3060 = 2^{2} \times 3^{2} \times 5 \times 17 \]3060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 9828 |
| Euler totient φ(n) | 768 |
| Square | 9363600 |
| Cube | 28652616000 |
| Square root | 55.317267 (= 6√85) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 48 |
| Scientific notation | 3.06 × |
3060 in other forms
| Form | Value |
|---|---|
| In words | three thousand and sixty |
| Roman numerals | MMMLX |
| Binary (base 2) | 101111110100 |
| Octal (base 8) | 5764 |
| Hexadecimal (base 16) | BF4 |
| Base 3 | 11012100 |
| As time | 3060 seconds = 51 min 0 s |
Is 3060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3060 ÷ 2 = 1530) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3060 ÷ 3 = 1020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3060 ÷ 4 = 765) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3060 ÷ 5 = 612) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3060 ÷ 6 = 510) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3060 ÷ 9 = 340) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3060 ÷ 10 = 306) | 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 | Yes (3060 ÷ 12 = 255) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3060 a prime number?
No. 3060 = × × 5 × 17, so it is divisible by 2.
What are the factors of 3060?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530, 3060.
What is 3060 in binary?
101111110100 (hexadecimal BF4, octal 5764).
What is the square root of 3060?
About 55.3173, exactly 6√85.
What is 3060 in Roman numerals?
MMMLX.
Is 3060 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3060?
3060 is a Harshad number: divisible by its digit sum 9.