The number 67349
67349 is the 6709th prime number. Its only divisors are 1 and 67349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67349: the 6709th prime number.
- 2
67349 is prime, so its only factors are 1 and 67349. It is the 6709th prime; the next prime is 67369 and the one before is 67343.
- 3
The divisors add up to 67350; without 67349 itself that is 1, so 67349 is deficient (1 is less than 67349). Euler's totient φ(67349) = 67348 numbers up to 67349 share no factor with it.
- 4
The digits of 67349 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
67349 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67350 |
| Euler totient φ(n) | 67348 |
| Square | 4535887801 |
| Cube | 305487507509549 |
| Square root | 259.516859 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7349 × |
67349 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and forty-nine |
| Binary (base 2) | 10000011100010101 |
| Octal (base 8) | 203425 |
| Hexadecimal (base 16) | 10715 |
| Base 3 | 10102101102 |
| As time | 67349 seconds = 18 h 42 min 29 s |
Is 67349 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 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 67349 a prime number?
Yes. 67349 is divisible only by 1 and itself.
What are the factors of 67349?
1, 67349.
What is 67349 in binary?
10000011100010101 (hexadecimal 10715, octal 203425).
What is the square root of 67349?
About 259.5169.
Is 67349 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67349?
67349 is the 6709th prime number.