The number 59999
59999 is the 6057th prime number. Its only divisors are 1 and 59999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59999: the 6057th prime number.
- 2
59999 is prime, so its only factors are 1 and 59999. It is the 6057th prime; the next prime is 60013 and the one before is 59981.
- 3
The divisors add up to 60000; without 59999 itself that is 1, so 59999 is deficient (1 is less than 59999). Euler's totient φ(59999) = 59998 numbers up to 59999 share no factor with it.
- 4
The digits of 59999 add up to 41, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
59999 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60000 |
| Euler totient φ(n) | 59998 |
| Square | 3599880001 |
| Cube | 215989200179999 |
| Square root | 244.946933 |
| Digit sum / digital root | 41 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.9999 × |
59999 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and ninety-nine |
| Binary (base 2) | 1110101001011111 |
| Octal (base 8) | 165137 |
| Hexadecimal (base 16) | EA5F |
| Base 3 | 10001022012 |
| As time | 59999 seconds = 16 h 39 min 59 s |
Is 59999 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 4) | 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 59999 a prime number?
Yes. 59999 is divisible only by 1 and itself.
What are the factors of 59999?
1, 59999.
What is 59999 in binary?
1110101001011111 (hexadecimal EA5F, octal 165137).
What is the square root of 59999?
About 244.9469.
Is 59999 divisible by 3?
No. Its digits add up to 41, which is not a multiple of 3.
What is special about the number 59999?
59999 is the 6057th prime number.