The number 57467
57467 is the 5825th prime number. Its only divisors are 1 and 57467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57467: the 5825th prime number.
- 2
57467 is prime, so its only factors are 1 and 57467. It is the 5825th prime; the next prime is 57487 and the one before is 57457.
- 3
The divisors add up to 57468; without 57467 itself that is 1, so 57467 is deficient (1 is less than 57467). Euler's totient φ(57467) = 57466 numbers up to 57467 share no factor with it.
- 4
The digits of 57467 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
57467 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57468 |
| Euler totient φ(n) | 57466 |
| Square | 3302456089 |
| Cube | 189782244066563 |
| Square root | 239.722757 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.7467 × |
57467 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and sixty-seven |
| Binary (base 2) | 1110000001111011 |
| Octal (base 8) | 160173 |
| Hexadecimal (base 16) | E07B |
| Base 3 | 2220211102 |
| As time | 57467 seconds = 15 h 57 min 47 s |
Is 57467 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 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57467 a prime number?
Yes. 57467 is divisible only by 1 and itself.
What are the factors of 57467?
1, 57467.
What is 57467 in binary?
1110000001111011 (hexadecimal E07B, octal 160173).
What is the square root of 57467?
About 239.7228.
Is 57467 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 57467?
57467 is the 5825th prime number.