The number 55787
55787 is the 5659th prime number. Its only divisors are 1 and 55787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55787: the 5659th prime number.
- 2
55787 is prime, so its only factors are 1 and 55787. It is the 5659th prime; the next prime is 55793 and the one before is 55763.
- 3
The divisors add up to 55788; without 55787 itself that is 1, so 55787 is deficient (1 is less than 55787). Euler's totient φ(55787) = 55786 numbers up to 55787 share no factor with it.
- 4
The digits of 55787 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 166 steps to reach 1.
55787 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55788 |
| Euler totient φ(n) | 55786 |
| Square | 3112189369 |
| Cube | 173619708328403 |
| Square root | 236.192718 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.5787 × |
55787 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and eighty-seven |
| Binary (base 2) | 1101100111101011 |
| Octal (base 8) | 154753 |
| Hexadecimal (base 16) | D9EB |
| Base 3 | 2211112012 |
| As time | 55787 seconds = 15 h 29 min 47 s |
Is 55787 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 2) | 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 3) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55787 a prime number?
Yes. 55787 is divisible only by 1 and itself.
What are the factors of 55787?
1, 55787.
What is 55787 in binary?
1101100111101011 (hexadecimal D9EB, octal 154753).
What is the square root of 55787?
About 236.1927.
Is 55787 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 55787?
55787 is the 5659th prime number.