The number 54713
54713 is the 5567th prime number. Its only divisors are 1 and 54713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54713: the 5567th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
54713 is prime, so its only factors are 1 and 54713. It is the 5567th prime; the next prime is 54721 and the one before is 54709.
- 3
The divisors add up to 54714; without 54713 itself that is 1, so 54713 is deficient (1 is less than 54713). Euler's totient φ(54713) = 54712 numbers up to 54713 share no factor with it.
- 4
The digits of 54713 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 60 steps to reach 1.
54713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 54714 |
| Euler totient φ(n) | 54712 |
| Square | 2993512369 |
| Cube | 163784042245097 |
| Square root | 233.908102 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.4713 × |
54713 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and thirteen |
| Binary (base 2) | 1101010110111001 |
| Octal (base 8) | 152671 |
| Hexadecimal (base 16) | D5B9 |
| Base 3 | 2210001102 |
| As time | 54713 seconds = 15 h 11 min 53 s |
Is 54713 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 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 1) | 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 10) | 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 54713 a prime number?
Yes. 54713 is divisible only by 1 and itself.
What are the factors of 54713?
1, 54713.
What is 54713 in binary?
1101010110111001 (hexadecimal D5B9, octal 152671).
What is the square root of 54713?
About 233.9081.
Is 54713 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 54713?
54713 is the 5567th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.