The number 5987
5987 is the 783rd prime number. Its only divisors are 1 and 5987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5987: the 783rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5987 is prime, so its only factors are 1 and 5987. It is the 783rd prime; the next prime is 6007 and the one before is 5981.
- 3
The divisors add up to 5988; without 5987 itself that is 1, so 5987 is deficient (1 is less than 5987). Euler's totient φ(5987) = 5986 numbers up to 5987 share no factor with it.
- 4
The digits of 5987 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
5987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5988 |
| Euler totient φ(n) | 5986 |
| Square | 35844169 |
| Cube | 214599039803 |
| Square root | 77.375707 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.987 × |
5987 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and eighty-seven |
| Binary (base 2) | 1011101100011 |
| Octal (base 8) | 13543 |
| Hexadecimal (base 16) | 1763 |
| Base 3 | 22012202 |
| As time | 5987 seconds = 1 h 39 min 47 s |
Is 5987 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 5987 a prime number?
Yes. 5987 is divisible only by 1 and itself.
What are the factors of 5987?
1, 5987.
What is 5987 in binary?
1011101100011 (hexadecimal 1763, octal 13543).
What is the square root of 5987?
About 77.3757.
Is 5987 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 5987?
5987 is the 783rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.