The number 59387
59387 is the 6003rd prime number. Its only divisors are 1 and 59387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59387: the 6003rd prime number.
- 2
59387 is prime, so its only factors are 1 and 59387. It is the 6003rd prime; the next prime is 59393 and the one before is 59377.
- 3
The divisors add up to 59388; without 59387 itself that is 1, so 59387 is deficient (1 is less than 59387). Euler's totient φ(59387) = 59386 numbers up to 59387 share no factor with it.
- 4
The digits of 59387 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 73 steps to reach 1.
59387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59388 |
| Euler totient φ(n) | 59386 |
| Square | 3526815769 |
| Cube | 209447008073603 |
| Square root | 243.694481 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9387 × |
59387 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand three hundred and eighty-seven |
| Binary (base 2) | 1110011111111011 |
| Octal (base 8) | 163773 |
| Hexadecimal (base 16) | E7FB |
| Base 3 | 10000110112 |
| As time | 59387 seconds = 16 h 29 min 47 s |
Is 59387 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 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 9) | 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 59387 a prime number?
Yes. 59387 is divisible only by 1 and itself.
What are the factors of 59387?
1, 59387.
What is 59387 in binary?
1110011111111011 (hexadecimal E7FB, octal 163773).
What is the square root of 59387?
About 243.6945.
Is 59387 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 59387?
59387 is the 6003rd prime number.