The number 55589
55589 is the 5639th prime number. Its only divisors are 1 and 55589.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55589: the 5639th prime number.
- 2
55589 is prime, so its only factors are 1 and 55589. It is the 5639th prime; the next prime is 55603 and the one before is 55579.
- 3
The divisors add up to 55590; without 55589 itself that is 1, so 55589 is deficient (1 is less than 55589). Euler's totient φ(55589) = 55588 numbers up to 55589 share no factor with it.
- 4
The digits of 55589 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
55589 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55590 |
| Euler totient φ(n) | 55588 |
| Square | 3090136921 |
| Cube | 171777621301469 |
| Square root | 235.773196 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.5589 × |
55589 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and eighty-nine |
| Binary (base 2) | 1101100100100101 |
| Octal (base 8) | 154445 |
| Hexadecimal (base 16) | D925 |
| Base 3 | 2211020212 |
| As time | 55589 seconds = 15 h 26 min 29 s |
Is 55589 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 2) | 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 5) | 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 6) | 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 55589 a prime number?
Yes. 55589 is divisible only by 1 and itself.
What are the factors of 55589?
1, 55589.
What is 55589 in binary?
1101100100100101 (hexadecimal D925, octal 154445).
What is the square root of 55589?
About 235.7732.
Is 55589 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 55589?
55589 is the 5639th prime number.