The number 55711
55711 is the 5654th prime number. Its only divisors are 1 and 55711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55711: the 5654th prime number.
- 2
55711 is prime, so its only factors are 1 and 55711. It is the 5654th prime; the next prime is 55717 and the one before is 55697.
- 3
The divisors add up to 55712; without 55711 itself that is 1, so 55711 is deficient (1 is less than 55711). Euler's totient φ(55711) = 55710 numbers up to 55711 share no factor with it.
- 4
The digits of 55711 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
55711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55712 |
| Euler totient φ(n) | 55710 |
| Square | 3103715521 |
| Cube | 172911095390431 |
| Square root | 236.031778 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.5711 × |
55711 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and eleven |
| Binary (base 2) | 1101100110011111 |
| Octal (base 8) | 154637 |
| Hexadecimal (base 16) | D99F |
| Base 3 | 2211102101 |
| As time | 55711 seconds = 15 h 28 min 31 s |
Is 55711 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 1) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 55711 a prime number?
Yes. 55711 is divisible only by 1 and itself.
What are the factors of 55711?
1, 55711.
What is 55711 in binary?
1101100110011111 (hexadecimal D99F, octal 154637).
What is the square root of 55711?
About 236.0318.
Is 55711 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55711?
55711 is the 5654th prime number.