The number 16267
16267 is the 1890th prime number. Its only divisors are 1 and 16267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16267: the 1890th prime number.
- 2
16267 is prime, so its only factors are 1 and 16267. It is the 1890th prime; the next prime is 16273 and the one before is 16253.
- 3
The divisors add up to 16268; without 16267 itself that is 1, so 16267 is deficient (1 is less than 16267). Euler's totient φ(16267) = 16266 numbers up to 16267 share no factor with it.
- 4
The digits of 16267 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 128 steps to reach 1.
16267 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16268 |
| Euler totient φ(n) | 16266 |
| Square | 264615289 |
| Cube | 4304496906163 |
| Square root | 127.542150 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6267 × |
16267 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and sixty-seven |
| Binary (base 2) | 11111110001011 |
| Octal (base 8) | 37613 |
| Hexadecimal (base 16) | 3F8B |
| Base 3 | 211022111 |
| As time | 16267 seconds = 4 h 31 min 7 s |
Is 16267 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 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16267 a prime number?
Yes. 16267 is divisible only by 1 and itself.
What are the factors of 16267?
1, 16267.
What is 16267 in binary?
11111110001011 (hexadecimal 3F8B, octal 37613).
What is the square root of 16267?
About 127.5421.
Is 16267 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 16267?
16267 is the 1890th prime number.