The number 59063
59063 is the 5971st prime number. Its only divisors are 1 and 59063.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59063: the 5971st prime number.
- 2
59063 is prime, so its only factors are 1 and 59063. It is the 5971st prime; the next prime is 59069 and the one before is 59053.
- 3
The divisors add up to 59064; without 59063 itself that is 1, so 59063 is deficient (1 is less than 59063). Euler's totient φ(59063) = 59062 numbers up to 59063 share no factor with it.
- 4
The digits of 59063 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
59063 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59064 |
| Euler totient φ(n) | 59062 |
| Square | 3488437969 |
| Cube | 206037611763047 |
| Square root | 243.028805 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.9063 × |
59063 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and sixty-three |
| Binary (base 2) | 1110011010110111 |
| Octal (base 8) | 163267 |
| Hexadecimal (base 16) | E6B7 |
| Base 3 | 10000000112 |
| As time | 59063 seconds = 16 h 24 min 23 s |
Is 59063 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 3) | 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 4) | 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 3) | 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 59063 a prime number?
Yes. 59063 is divisible only by 1 and itself.
What are the factors of 59063?
1, 59063.
What is 59063 in binary?
1110011010110111 (hexadecimal E6B7, octal 163267).
What is the square root of 59063?
About 243.0288.
Is 59063 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 59063?
59063 is the 5971st prime number.