The number 16091
16091 is the 1873rd prime number. Its only divisors are 1 and 16091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16091: the 1873rd prime number.
- 2
16091 is prime, so its only factors are 1 and 16091. It is the 1873rd prime; the next prime is 16097 and the one before is 16087.
- 3
The divisors add up to 16092; without 16091 itself that is 1, so 16091 is deficient (1 is less than 16091). Euler's totient φ(16091) = 16090 numbers up to 16091 share no factor with it.
- 4
The digits of 16091 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
16091 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16092 |
| Euler totient φ(n) | 16090 |
| Square | 258920281 |
| Cube | 4166286241571 |
| Square root | 126.850305 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6091 × |
16091 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and ninety-one |
| Binary (base 2) | 11111011011011 |
| Octal (base 8) | 37333 |
| Hexadecimal (base 16) | 3EDB |
| Base 3 | 211001222 |
| As time | 16091 seconds = 4 h 28 min 11 s |
Is 16091 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 1) | 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 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 16091 a prime number?
Yes. 16091 is divisible only by 1 and itself.
What are the factors of 16091?
1, 16091.
What is 16091 in binary?
11111011011011 (hexadecimal 3EDB, octal 37333).
What is the square root of 16091?
About 126.8503.
Is 16091 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16091?
16091 is the 1873rd prime number.