The number 57413
57413 is the 5822nd prime number. Its only divisors are 1 and 57413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57413: the 5822nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57413 is prime, so its only factors are 1 and 57413. It is the 5822nd prime; the next prime is 57427 and the one before is 57397.
- 3
The divisors add up to 57414; without 57413 itself that is 1, so 57413 is deficient (1 is less than 57413). Euler's totient φ(57413) = 57412 numbers up to 57413 share no factor with it.
- 4
The digits of 57413 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 122 steps to reach 1.
57413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57414 |
| Euler totient φ(n) | 57412 |
| Square | 3296252569 |
| Cube | 189247748743997 |
| Square root | 239.610100 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.7413 × |
57413 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and thirteen |
| Binary (base 2) | 1110000001000101 |
| Octal (base 8) | 160105 |
| Hexadecimal (base 16) | E045 |
| Base 3 | 2220202102 |
| As time | 57413 seconds = 15 h 56 min 53 s |
Is 57413 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 1) | 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 6) | 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 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57413 a prime number?
Yes. 57413 is divisible only by 1 and itself.
What are the factors of 57413?
1, 57413.
What is 57413 in binary?
1110000001000101 (hexadecimal E045, octal 160105).
What is the square root of 57413?
About 239.6101.
Is 57413 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 57413?
57413 is the 5822nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.