The number 67339
67339 is the 6707th prime number. Its only divisors are 1 and 67339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67339: the 6707th prime number.
- 2
67339 is prime, so its only factors are 1 and 67339. It is the 6707th prime; the next prime is 67343 and the one before is 67307.
- 3
The divisors add up to 67340; without 67339 itself that is 1, so 67339 is deficient (1 is less than 67339). Euler's totient φ(67339) = 67338 numbers up to 67339 share no factor with it.
- 4
The digits of 67339 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
67339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67340 |
| Euler totient φ(n) | 67338 |
| Square | 4534540921 |
| Cube | 305351451079219 |
| Square root | 259.497592 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.7339 × |
67339 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and thirty-nine |
| Binary (base 2) | 10000011100001011 |
| Octal (base 8) | 203413 |
| Hexadecimal (base 16) | 1070B |
| Base 3 | 10102101001 |
| As time | 67339 seconds = 18 h 42 min 19 s |
Is 67339 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 4) | 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 1) | 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 8) | 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 67339 a prime number?
Yes. 67339 is divisible only by 1 and itself.
What are the factors of 67339?
1, 67339.
What is 67339 in binary?
10000011100001011 (hexadecimal 1070B, octal 203413).
What is the square root of 67339?
About 259.4976.
Is 67339 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67339?
67339 is the 6707th prime number.