The number 16823
16823 is the 1941st prime number. Its only divisors are 1 and 16823.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16823: the 1941st prime number.
- 2
16823 is prime, so its only factors are 1 and 16823. It is the 1941st prime; the next prime is 16829 and the one before is 16811.
- 3
The divisors add up to 16824; without 16823 itself that is 1, so 16823 is deficient (1 is less than 16823). Euler's totient φ(16823) = 16822 numbers up to 16823 share no factor with it.
- 4
The digits of 16823 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 66 steps to reach 1.
16823 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16824 |
| Euler totient φ(n) | 16822 |
| Square | 283013329 |
| Cube | 4761133233767 |
| Square root | 129.703508 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6823 × |
16823 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and twenty-three |
| Binary (base 2) | 100000110110111 |
| Octal (base 8) | 40667 |
| Hexadecimal (base 16) | 41B7 |
| Base 3 | 212002002 |
| As time | 16823 seconds = 4 h 40 min 23 s |
Is 16823 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 2) | 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 7) | 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 4) | 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 16823 a prime number?
Yes. 16823 is divisible only by 1 and itself.
What are the factors of 16823?
1, 16823.
What is 16823 in binary?
100000110110111 (hexadecimal 41B7, octal 40667).
What is the square root of 16823?
About 129.7035.
Is 16823 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16823?
16823 is the 1941st prime number.