The number 16223
16223 is the 1885th prime number. Its only divisors are 1 and 16223.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16223: the 1885th prime number.
- 2
16223 is prime, so its only factors are 1 and 16223. It is the 1885th prime; the next prime is 16229 and the one before is 16217.
- 3
The divisors add up to 16224; without 16223 itself that is 1, so 16223 is deficient (1 is less than 16223). Euler's totient φ(16223) = 16222 numbers up to 16223 share no factor with it.
- 4
The digits of 16223 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
16223 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16224 |
| Euler totient φ(n) | 16222 |
| Square | 263185729 |
| Cube | 4269662081567 |
| Square root | 127.369541 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6223 × |
16223 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and twenty-three |
| Binary (base 2) | 11111101011111 |
| Octal (base 8) | 37537 |
| Hexadecimal (base 16) | 3F5F |
| Base 3 | 211020212 |
| As time | 16223 seconds = 4 h 30 min 23 s |
Is 16223 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 7) | 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 9) | 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 16223 a prime number?
Yes. 16223 is divisible only by 1 and itself.
What are the factors of 16223?
1, 16223.
What is 16223 in binary?
11111101011111 (hexadecimal 3F5F, octal 37537).
What is the square root of 16223?
About 127.3695.
Is 16223 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16223?
16223 is the 1885th prime number.