The number 9350
9350 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 17. Divisors (24): 1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275 … 9350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9350: a Harshad number: divisible by its digit sum 17.
- 2
9350 is composite. Its prime factorisation is
- 3
The divisors add up to 20088; without 9350 itself that is 10738, so 9350 is abundant (10738 is more than 9350). Euler's totient φ(9350) = 3200 numbers up to 9350 share no factor with it.
- 4
The digits of 9350 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9350 = 2 \times 5^{2} \times 11 \times 17 \]9350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 20088 |
| Euler totient φ(n) | 3200 |
| Square | 87422500 |
| Cube | 817400375000 |
| Square root | 96.695398 (= 5√374) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.35 × |
9350 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and fifty |
| Binary (base 2) | 10010010000110 |
| Octal (base 8) | 22206 |
| Hexadecimal (base 16) | 2486 |
| Base 3 | 110211022 |
| As time | 9350 seconds = 2 h 35 min 50 s |
Is 9350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9350 ÷ 2 = 4675) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9350 ÷ 5 = 1870) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9350 ÷ 10 = 935) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9350 ÷ 11 = 850) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9350 a prime number?
No. 9350 = 2 × × 11 × 17, so it is divisible by 2.
What are the factors of 9350?
1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275, 374, 425, 550, 850, 935, 1870, 4675, 9350.
What is 9350 in binary?
10010010000110 (hexadecimal 2486, octal 22206).
What is the square root of 9350?
About 96.6954, exactly 5√374.
Is 9350 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 9350?
9350 is a Harshad number: divisible by its digit sum 17.