The number 9060
9060 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 151. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604 … 9060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9060: a Harshad number: divisible by its digit sum 15.
- 2
9060 is composite. Its prime factorisation is
- 3
The divisors add up to 25536; without 9060 itself that is 16476, so 9060 is abundant (16476 is more than 9060). Euler's totient φ(9060) = 2400 numbers up to 9060 share no factor with it.
- 4
The digits of 9060 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9060 = 2^{2} \times 3 \times 5 \times 151 \]9060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 25536 |
| Euler totient φ(n) | 2400 |
| Square | 82083600 |
| Cube | 743677416000 |
| Square root | 95.184032 (= 2√2265) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 9.06 × |
9060 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and sixty |
| Binary (base 2) | 10001101100100 |
| Octal (base 8) | 21544 |
| Hexadecimal (base 16) | 2364 |
| Base 3 | 110102120 |
| As time | 9060 seconds = 2 h 31 min 0 s |
Is 9060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9060 ÷ 2 = 4530) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9060 ÷ 3 = 3020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9060 ÷ 4 = 2265) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9060 ÷ 5 = 1812) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9060 ÷ 6 = 1510) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9060 ÷ 10 = 906) | 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 | Yes (9060 ÷ 12 = 755) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9060 a prime number?
No. 9060 = × 3 × 5 × 151, so it is divisible by 2.
What are the factors of 9060?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060.
What is 9060 in binary?
10001101100100 (hexadecimal 2364, octal 21544).
What is the square root of 9060?
About 95.1840, exactly 2√2265.
Is 9060 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9060?
9060 is a Harshad number: divisible by its digit sum 15.