The number 67829
67829 is the 6757th prime number. Its only divisors are 1 and 67829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67829: the 6757th prime number.
- 2
67829 is prime, so its only factors are 1 and 67829. It is the 6757th prime; the next prime is 67843 and the one before is 67819.
- 3
The divisors add up to 67830; without 67829 itself that is 1, so 67829 is deficient (1 is less than 67829). Euler's totient φ(67829) = 67828 numbers up to 67829 share no factor with it.
- 4
The digits of 67829 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
67829 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67830 |
| Euler totient φ(n) | 67828 |
| Square | 4600773241 |
| Cube | 312065848163789 |
| Square root | 260.440012 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7829 × |
67829 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and twenty-nine |
| Binary (base 2) | 10000100011110101 |
| Octal (base 8) | 204365 |
| Hexadecimal (base 16) | 108F5 |
| Base 3 | 10110001012 |
| As time | 67829 seconds = 18 h 50 min 29 s |
Is 67829 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 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 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 67829 a prime number?
Yes. 67829 is divisible only by 1 and itself.
What are the factors of 67829?
1, 67829.
What is 67829 in binary?
10000100011110101 (hexadecimal 108F5, octal 204365).
What is the square root of 67829?
About 260.4400.
Is 67829 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 67829?
67829 is the 6757th prime number.