The number 9883
9883 is the 1219th prime number. Its only divisors are 1 and 9883.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9883: the 1219th prime number.
- 2
9883 is prime, so its only factors are 1 and 9883. It is the 1219th prime; the next prime is 9887 and the one before is 9871.
- 3
The divisors add up to 9884; without 9883 itself that is 1, so 9883 is deficient (1 is less than 9883). Euler's totient φ(9883) = 9882 numbers up to 9883 share no factor with it.
- 4
The digits of 9883 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
9883 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9884 |
| Euler totient φ(n) | 9882 |
| Square | 97673689 |
| Cube | 965309068387 |
| Square root | 99.413279 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.883 × |
9883 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and eighty-three |
| Binary (base 2) | 10011010011011 |
| Octal (base 8) | 23233 |
| Hexadecimal (base 16) | 269B |
| Base 3 | 111120001 |
| As time | 9883 seconds = 2 h 44 min 43 s |
Is 9883 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9883 a prime number?
Yes. 9883 is divisible only by 1 and itself.
What are the factors of 9883?
1, 9883.
What is 9883 in binary?
10011010011011 (hexadecimal 269B, octal 23233).
What is the square root of 9883?
About 99.4133.
Is 9883 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9883?
9883 is the 1219th prime number.