The number 55871
55871 is the 5671st prime number. Its only divisors are 1 and 55871.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55871: the 5671st prime number.
- 2
55871 is prime, so its only factors are 1 and 55871. It is the 5671st prime; the next prime is 55889 and the one before is 55849.
- 3
The divisors add up to 55872; without 55871 itself that is 1, so 55871 is deficient (1 is less than 55871). Euler's totient φ(55871) = 55870 numbers up to 55871 share no factor with it.
- 4
The digits of 55871 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
55871 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55872 |
| Euler totient φ(n) | 55870 |
| Square | 3121568641 |
| Cube | 174405161541311 |
| Square root | 236.370472 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5871 × |
55871 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and seventy-one |
| Binary (base 2) | 1101101000111111 |
| Octal (base 8) | 155077 |
| Hexadecimal (base 16) | DA3F |
| Base 3 | 2211122022 |
| As time | 55871 seconds = 15 h 31 min 11 s |
Is 55871 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | 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 55871 a prime number?
Yes. 55871 is divisible only by 1 and itself.
What are the factors of 55871?
1, 55871.
What is 55871 in binary?
1101101000111111 (hexadecimal DA3F, octal 155077).
What is the square root of 55871?
About 236.3705.
Is 55871 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55871?
55871 is the 5671st prime number.