The number 55889
55889 is the 5672nd prime number. Its only divisors are 1 and 55889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55889: the 5672nd prime number.
- 2
55889 is prime, so its only factors are 1 and 55889. It is the 5672nd prime; the next prime is 55897 and the one before is 55871.
- 3
The divisors add up to 55890; without 55889 itself that is 1, so 55889 is deficient (1 is less than 55889). Euler's totient φ(55889) = 55888 numbers up to 55889 share no factor with it.
- 4
The digits of 55889 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
55889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55890 |
| Euler totient φ(n) | 55888 |
| Square | 3123580321 |
| Cube | 174573780560369 |
| Square root | 236.408545 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.5889 × |
55889 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and eighty-nine |
| Binary (base 2) | 1101101001010001 |
| Octal (base 8) | 155121 |
| Hexadecimal (base 16) | DA51 |
| Base 3 | 2211122222 |
| As time | 55889 seconds = 15 h 31 min 29 s |
Is 55889 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 4) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 55889 a prime number?
Yes. 55889 is divisible only by 1 and itself.
What are the factors of 55889?
1, 55889.
What is 55889 in binary?
1101101001010001 (hexadecimal DA51, octal 155121).
What is the square root of 55889?
About 236.4085.
Is 55889 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 55889?
55889 is the 5672nd prime number.