The number 9520
9520 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 17. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56 … 9520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9520: a Harshad number: divisible by its digit sum 16.
- 2
9520 is composite. Its prime factorisation is
- 3
The divisors add up to 26784; without 9520 itself that is 17264, so 9520 is abundant (17264 is more than 9520). Euler's totient φ(9520) = 3072 numbers up to 9520 share no factor with it.
- 4
The digits of 9520 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9520 = 2^{4} \times 5 \times 7 \times 17 \]9520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 26784 |
| Euler totient φ(n) | 3072 |
| Square | 90630400 |
| Cube | 862801408000 |
| Square root | 97.570487 (= 4√595) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 78 |
| Scientific notation | 9.52 × |
9520 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and twenty |
| Binary (base 2) | 10010100110000 |
| Octal (base 8) | 22460 |
| Hexadecimal (base 16) | 2530 |
| Base 3 | 111001121 |
| As time | 9520 seconds = 2 h 38 min 40 s |
Is 9520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9520 ÷ 2 = 4760) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9520 ÷ 4 = 2380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9520 ÷ 5 = 1904) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9520 ÷ 7 = 1360) | 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 (9520 ÷ 8 = 1190) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9520 ÷ 10 = 952) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9520 a prime number?
No. 9520 = × 5 × 7 × 17, so it is divisible by 2.
What are the factors of 9520?
1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760, 9520.
What is 9520 in binary?
10010100110000 (hexadecimal 2530, octal 22460).
What is the square root of 9520?
About 97.5705, exactly 4√595.
Is 9520 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 9520?
9520 is a Harshad number: divisible by its digit sum 16.