The number 9560
9560 is a composite number with 16 divisors. Its prime factorisation is × 5 × 239. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 239, 478, 956, 1195, 1912, 2390, 4780, 9560.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9560: a Harshad number: divisible by its digit sum 20.
- 2
9560 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 9560 itself that is 12040, so 9560 is abundant (12040 is more than 9560). Euler's totient φ(9560) = 3808 numbers up to 9560 share no factor with it.
- 4
The digits of 9560 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9560 = 2^{3} \times 5 \times 239 \]9560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 3808 |
| Square | 91393600 |
| Cube | 873722816000 |
| Square root | 97.775252 (= 2√2390) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.56 × |
9560 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and sixty |
| Binary (base 2) | 10010101011000 |
| Octal (base 8) | 22530 |
| Hexadecimal (base 16) | 2558 |
| Base 3 | 111010002 |
| As time | 9560 seconds = 2 h 39 min 20 s |
Is 9560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9560 ÷ 2 = 4780) | 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 (9560 ÷ 4 = 2390) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9560 ÷ 5 = 1912) | 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 5) | 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 (9560 ÷ 8 = 1195) | 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 (9560 ÷ 10 = 956) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 9560 a prime number?
No. 9560 = × 5 × 239, so it is divisible by 2.
What are the factors of 9560?
1, 2, 4, 5, 8, 10, 20, 40, 239, 478, 956, 1195, 1912, 2390, 4780, 9560.
What is 9560 in binary?
10010101011000 (hexadecimal 2558, octal 22530).
What is the square root of 9560?
About 97.7753, exactly 2√2390.
Is 9560 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9560?
9560 is a Harshad number: divisible by its digit sum 20.