The number 57667
57667 is the 5841st prime number. Its only divisors are 1 and 57667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57667: the 5841st prime number.
- 2
57667 is prime, so its only factors are 1 and 57667. It is the 5841st prime; the next prime is 57679 and the one before is 57653.
- 3
The divisors add up to 57668; without 57667 itself that is 1, so 57667 is deficient (1 is less than 57667). Euler's totient φ(57667) = 57666 numbers up to 57667 share no factor with it.
- 4
The digits of 57667 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 197 steps to reach 1.
57667 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57668 |
| Euler totient φ(n) | 57666 |
| Square | 3325482889 |
| Cube | 191770621759963 |
| Square root | 240.139543 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 197 |
| Scientific notation | 5.7667 × |
57667 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand six hundred and sixty-seven |
| Binary (base 2) | 1110000101000011 |
| Octal (base 8) | 160503 |
| Hexadecimal (base 16) | E143 |
| Base 3 | 2221002211 |
| As time | 57667 seconds = 16 h 1 min 7 s |
Is 57667 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 1) | 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 4) | 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 5) | 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 57667 a prime number?
Yes. 57667 is divisible only by 1 and itself.
What are the factors of 57667?
1, 57667.
What is 57667 in binary?
1110000101000011 (hexadecimal E143, octal 160503).
What is the square root of 57667?
About 240.1395.
Is 57667 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 57667?
57667 is the 5841st prime number.