The number 16843
16843 is the 1944th prime number. Its only divisors are 1 and 16843.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16843: the 1944th prime number.
- 2
16843 is prime, so its only factors are 1 and 16843. It is the 1944th prime; the next prime is 16871 and the one before is 16831.
- 3
The divisors add up to 16844; without 16843 itself that is 1, so 16843 is deficient (1 is less than 16843). Euler's totient φ(16843) = 16842 numbers up to 16843 share no factor with it.
- 4
The digits of 16843 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 66 steps to reach 1.
16843 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16844 |
| Euler totient φ(n) | 16842 |
| Square | 283686649 |
| Cube | 4778134229107 |
| Square root | 129.780584 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6843 × |
16843 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and forty-three |
| Binary (base 2) | 100000111001011 |
| Octal (base 8) | 40713 |
| Hexadecimal (base 16) | 41CB |
| Base 3 | 212002211 |
| As time | 16843 seconds = 4 h 40 min 43 s |
Is 16843 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 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 3) | 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 | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16843 a prime number?
Yes. 16843 is divisible only by 1 and itself.
What are the factors of 16843?
1, 16843.
What is 16843 in binary?
100000111001011 (hexadecimal 41CB, octal 40713).
What is the square root of 16843?
About 129.7806.
Is 16843 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16843?
16843 is the 1944th prime number.