The number 16349
16349 is the 1896th prime number. Its only divisors are 1 and 16349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16349: the 1896th prime number.
- 2
16349 is prime, so its only factors are 1 and 16349. It is the 1896th prime; the next prime is 16361 and the one before is 16339.
- 3
The divisors add up to 16350; without 16349 itself that is 1, so 16349 is deficient (1 is less than 16349). Euler's totient φ(16349) = 16348 numbers up to 16349 share no factor with it.
- 4
The digits of 16349 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
16349 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16350 |
| Euler totient φ(n) | 16348 |
| Square | 267289801 |
| Cube | 4369920956549 |
| Square root | 127.863208 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6349 × |
16349 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and forty-nine |
| Binary (base 2) | 11111111011101 |
| Octal (base 8) | 37735 |
| Hexadecimal (base 16) | 3FDD |
| Base 3 | 211102112 |
| As time | 16349 seconds = 4 h 32 min 29 s |
Is 16349 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 4) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 16349 a prime number?
Yes. 16349 is divisible only by 1 and itself.
What are the factors of 16349?
1, 16349.
What is 16349 in binary?
11111111011101 (hexadecimal 3FDD, octal 37735).
What is the square root of 16349?
About 127.8632.
Is 16349 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16349?
16349 is the 1896th prime number.