The number 42667
42667 is the 4459th prime number. Its only divisors are 1 and 42667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42667: the 4459th prime number.
- 2
42667 is prime, so its only factors are 1 and 42667. It is the 4459th prime; the next prime is 42677 and the one before is 42649.
- 3
The divisors add up to 42668; without 42667 itself that is 1, so 42667 is deficient (1 is less than 42667). Euler's totient φ(42667) = 42666 numbers up to 42667 share no factor with it.
- 4
The digits of 42667 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.
42667 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42668 |
| Euler totient φ(n) | 42666 |
| Square | 1820472889 |
| Cube | 77674116754963 |
| Square root | 206.559919 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 225 |
| Scientific notation | 4.2667 × |
42667 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and sixty-seven |
| Binary (base 2) | 1010011010101011 |
| Octal (base 8) | 123253 |
| Hexadecimal (base 16) | A6AB |
| Base 3 | 2011112021 |
| As time | 42667 seconds = 11 h 51 min 7 s |
Is 42667 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 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 42667 a prime number?
Yes. 42667 is divisible only by 1 and itself.
What are the factors of 42667?
1, 42667.
What is 42667 in binary?
1010011010101011 (hexadecimal A6AB, octal 123253).
What is the square root of 42667?
About 206.5599.
Is 42667 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42667?
42667 is the 4459th prime number.