The number 9850
9850 is a composite number with 12 divisors. Its prime factorisation is 2 × × 197. Divisors (12): 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9850 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9850 is composite. Its prime factorisation is
- 3
The divisors add up to 18414; without 9850 itself that is 8564, so 9850 is deficient (8564 is less than 9850). Euler's totient φ(9850) = 3920 numbers up to 9850 share no factor with it.
- 4
The digits of 9850 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9850 = 2 \times 5^{2} \times 197 \]9850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18414 |
| Euler totient φ(n) | 3920 |
| Square | 97022500 |
| Cube | 955671625000 |
| Square root | 99.247166 (= 5√394) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.85 × |
9850 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and fifty |
| Binary (base 2) | 10011001111010 |
| Octal (base 8) | 23172 |
| Hexadecimal (base 16) | 267A |
| Base 3 | 111111211 |
| As time | 9850 seconds = 2 h 44 min 10 s |
Is 9850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9850 ÷ 2 = 4925) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9850 ÷ 5 = 1970) | 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 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9850 ÷ 10 = 985) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9850 a prime number?
No. 9850 = 2 × × 197, so it is divisible by 2.
What are the factors of 9850?
1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850.
What is 9850 in binary?
10011001111010 (hexadecimal 267A, octal 23172).
What is the square root of 9850?
About 99.2472, exactly 5√394.
Is 9850 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9850?
It is a composite number with 12 divisors.