The number 16193
16193 is the 1883rd prime number. Its only divisors are 1 and 16193.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16193: the 1883rd prime number.
- 2
16193 is prime, so its only factors are 1 and 16193. It is the 1883rd prime; the next prime is 16217 and the one before is 16189.
- 3
The divisors add up to 16194; without 16193 itself that is 1, so 16193 is deficient (1 is less than 16193). Euler's totient φ(16193) = 16192 numbers up to 16193 share no factor with it.
- 4
The digits of 16193 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.
16193 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16194 |
| Euler totient φ(n) | 16192 |
| Square | 262213249 |
| Cube | 4246019141057 |
| Square root | 127.251719 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6193 × |
16193 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and ninety-three |
| Binary (base 2) | 11111101000001 |
| Octal (base 8) | 37501 |
| Hexadecimal (base 16) | 3F41 |
| Base 3 | 211012202 |
| As time | 16193 seconds = 4 h 29 min 53 s |
Is 16193 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 1) | 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 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16193 a prime number?
Yes. 16193 is divisible only by 1 and itself.
What are the factors of 16193?
1, 16193.
What is 16193 in binary?
11111101000001 (hexadecimal 3F41, octal 37501).
What is the square root of 16193?
About 127.2517.
Is 16193 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16193?
16193 is the 1883rd prime number.