The number 9803
9803 is the 1209th prime number. Its only divisors are 1 and 9803.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9803: the 1209th prime number.
- 2
9803 is prime, so its only factors are 1 and 9803. It is the 1209th prime; the next prime is 9811 and the one before is 9791.
- 3
The divisors add up to 9804; without 9803 itself that is 1, so 9803 is deficient (1 is less than 9803). Euler's totient φ(9803) = 9802 numbers up to 9803 share no factor with it.
- 4
The digits of 9803 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 135 steps to reach 1.
9803 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9804 |
| Euler totient φ(n) | 9802 |
| Square | 96098809 |
| Cube | 942056624627 |
| Square root | 99.010100 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.803 × |
9803 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and three |
| Binary (base 2) | 10011001001011 |
| Octal (base 8) | 23113 |
| Hexadecimal (base 16) | 264B |
| Base 3 | 111110002 |
| As time | 9803 seconds = 2 h 43 min 23 s |
Is 9803 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9803 a prime number?
Yes. 9803 is divisible only by 1 and itself.
What are the factors of 9803?
1, 9803.
What is 9803 in binary?
10011001001011 (hexadecimal 264B, octal 23113).
What is the square root of 9803?
About 99.0101.
Is 9803 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9803?
9803 is the 1209th prime number.