The number 9923
9923 is the 1223rd prime number. Its only divisors are 1 and 9923.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9923: the 1223rd prime number.
- 2
9923 is prime, so its only factors are 1 and 9923. It is the 1223rd prime; the next prime is 9929 and the one before is 9907.
- 3
The divisors add up to 9924; without 9923 itself that is 1, so 9923 is deficient (1 is less than 9923). Euler's totient φ(9923) = 9922 numbers up to 9923 share no factor with it.
- 4
The digits of 9923 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
9923 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9924 |
| Euler totient φ(n) | 9922 |
| Square | 98465929 |
| Cube | 977077413467 |
| Square root | 99.614256 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.923 × |
9923 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and twenty-three |
| Binary (base 2) | 10011011000011 |
| Octal (base 8) | 23303 |
| Hexadecimal (base 16) | 26C3 |
| Base 3 | 111121112 |
| As time | 9923 seconds = 2 h 45 min 23 s |
Is 9923 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 4) | 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 5) | 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 1) | 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 9923 a prime number?
Yes. 9923 is divisible only by 1 and itself.
What are the factors of 9923?
1, 9923.
What is 9923 in binary?
10011011000011 (hexadecimal 26C3, octal 23303).
What is the square root of 9923?
About 99.6143.
Is 9923 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9923?
9923 is the 1223rd prime number.