The number 55987
55987 is the 5682nd prime number. Its only divisors are 1 and 55987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55987: the 5682nd prime number.
- 2
55987 is prime, so its only factors are 1 and 55987. It is the 5682nd prime; the next prime is 55997 and the one before is 55967.
- 3
The divisors add up to 55988; without 55987 itself that is 1, so 55987 is deficient (1 is less than 55987). Euler's totient φ(55987) = 55986 numbers up to 55987 share no factor with it.
- 4
The digits of 55987 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
55987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55988 |
| Euler totient φ(n) | 55986 |
| Square | 3134544169 |
| Cube | 175493724389803 |
| Square root | 236.615722 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5987 × |
55987 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and eighty-seven |
| Binary (base 2) | 1101101010110011 |
| Octal (base 8) | 155263 |
| Hexadecimal (base 16) | DAB3 |
| Base 3 | 2211210121 |
| As time | 55987 seconds = 15 h 33 min 7 s |
Is 55987 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 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | 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 55987 a prime number?
Yes. 55987 is divisible only by 1 and itself.
What are the factors of 55987?
1, 55987.
What is 55987 in binary?
1101101010110011 (hexadecimal DAB3, octal 155263).
What is the square root of 55987?
About 236.6157.
Is 55987 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 55987?
55987 is the 5682nd prime number.