The number 9540
9540 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 53. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53 … 9540.
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How to work it out
- 1
What is special about 9540: a Harshad number: divisible by its digit sum 18.
- 2
9540 is composite. Its prime factorisation is
- 3
The divisors add up to 29484; without 9540 itself that is 19944, so 9540 is abundant (19944 is more than 9540). Euler's totient φ(9540) = 2496 numbers up to 9540 share no factor with it.
- 4
The digits of 9540 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9540 = 2^{2} \times 3^{2} \times 5 \times 53 \]9540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 29484 |
| Euler totient φ(n) | 2496 |
| Square | 91011600 |
| Cube | 868250664000 |
| Square root | 97.672924 (= 6√265) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.54 × |
9540 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and forty |
| Binary (base 2) | 10010101000100 |
| Octal (base 8) | 22504 |
| Hexadecimal (base 16) | 2544 |
| Base 3 | 111002100 |
| As time | 9540 seconds = 2 h 39 min 0 s |
Is 9540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9540 ÷ 2 = 4770) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9540 ÷ 3 = 3180) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9540 ÷ 4 = 2385) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9540 ÷ 5 = 1908) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9540 ÷ 6 = 1590) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (9540 ÷ 9 = 1060) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9540 ÷ 10 = 954) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (9540 ÷ 12 = 795) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9540 a prime number?
No. 9540 = × × 5 × 53, so it is divisible by 2.
What are the factors of 9540?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540.
What is 9540 in binary?
10010101000100 (hexadecimal 2544, octal 22504).
What is the square root of 9540?
About 97.6729, exactly 6√265.
Is 9540 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9540?
9540 is a Harshad number: divisible by its digit sum 18.