The number 67043
67043 is the 6679th prime number. Its only divisors are 1 and 67043.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67043: the 6679th prime number.
- 2
67043 is prime, so its only factors are 1 and 67043. It is the 6679th prime; the next prime is 67049 and the one before is 67033.
- 3
The divisors add up to 67044; without 67043 itself that is 1, so 67043 is deficient (1 is less than 67043). Euler's totient φ(67043) = 67042 numbers up to 67043 share no factor with it.
- 4
The digits of 67043 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 130 steps to reach 1.
67043 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67044 |
| Euler totient φ(n) | 67042 |
| Square | 4494763849 |
| Cube | 301342452728507 |
| Square root | 258.926631 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7043 × |
67043 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and forty-three |
| Binary (base 2) | 10000010111100011 |
| Octal (base 8) | 202743 |
| Hexadecimal (base 16) | 105E3 |
| Base 3 | 10101222002 |
| As time | 67043 seconds = 18 h 37 min 23 s |
Is 67043 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 3) | 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 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67043 a prime number?
Yes. 67043 is divisible only by 1 and itself.
What are the factors of 67043?
1, 67043.
What is 67043 in binary?
10000010111100011 (hexadecimal 105E3, octal 202743).
What is the square root of 67043?
About 258.9266.
Is 67043 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67043?
67043 is the 6679th prime number.