The number 43067
43067 is the 4502nd prime number. Its only divisors are 1 and 43067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43067: the 4502nd prime number.
- 2
43067 is prime, so its only factors are 1 and 43067. It is the 4502nd prime; the next prime is 43093 and the one before is 43063.
- 3
The divisors add up to 43068; without 43067 itself that is 1, so 43067 is deficient (1 is less than 43067). Euler's totient φ(43067) = 43066 numbers up to 43067 share no factor with it.
- 4
The digits of 43067 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 75 steps to reach 1.
43067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43068 |
| Euler totient φ(n) | 43066 |
| Square | 1854766489 |
| Cube | 79879228381763 |
| Square root | 207.525902 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.3067 × |
43067 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and sixty-seven |
| Binary (base 2) | 1010100000111011 |
| Octal (base 8) | 124073 |
| Hexadecimal (base 16) | A83B |
| Base 3 | 2012002002 |
| As time | 43067 seconds = 11 h 57 min 47 s |
Is 43067 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 2) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 43067 a prime number?
Yes. 43067 is divisible only by 1 and itself.
What are the factors of 43067?
1, 43067.
What is 43067 in binary?
1010100000111011 (hexadecimal A83B, octal 124073).
What is the square root of 43067?
About 207.5259.
Is 43067 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43067?
43067 is the 4502nd prime number.