The number 587
587 is the 107th prime number. Its only divisors are 1 and 587.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 587: the 107th prime number.
- 2
587 is prime, so its only factors are 1 and 587. It is the 107th prime; the next prime is 593 and the one before is 577.
- 3
The divisors add up to 588; without 587 itself that is 1, so 587 is deficient (1 is less than 587). Euler's totient φ(587) = 586 numbers up to 587 share no factor with it.
- 4
The digits of 587 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
587 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 588 |
| Euler totient φ(n) | 586 |
| Square | 344569 |
| Cube | 202262003 |
| Square root | 24.228083 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 118 |
| Scientific notation | 5.87 × |
587 in other forms
| Form | Value |
|---|---|
| In words | five hundred and eighty-seven |
| Roman numerals | DLXXXVII |
| Binary (base 2) | 1001001011 |
| Octal (base 8) | 1113 |
| Hexadecimal (base 16) | 24B |
| Base 3 | 210202 |
| As time | 587 seconds = 9 min 47 s |
Is 587 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 6) | 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 4) | 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 587 a prime number?
Yes. 587 is divisible only by 1 and itself.
What are the factors of 587?
1, 587.
What is 587 in binary?
1001001011 (hexadecimal 24B, octal 1113).
What is the square root of 587?
About 24.2281.
What is 587 in Roman numerals?
DLXXXVII.
Is 587 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 587?
587 is the 107th prime number.