The number 59113
59113 is the 5977th prime number. Its only divisors are 1 and 59113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59113: the 5977th prime number.
- 2
59113 is prime, so its only factors are 1 and 59113. It is the 5977th prime; the next prime is 59119 and the one before is 59107.
- 3
The divisors add up to 59114; without 59113 itself that is 1, so 59113 is deficient (1 is less than 59113). Euler's totient φ(59113) = 59112 numbers up to 59113 share no factor with it.
- 4
The digits of 59113 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
59113 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59114 |
| Euler totient φ(n) | 59112 |
| Square | 3494346769 |
| Cube | 206561320555897 |
| Square root | 243.131652 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.9113 × |
59113 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and thirteen |
| Binary (base 2) | 1110011011101001 |
| Octal (base 8) | 163351 |
| Hexadecimal (base 16) | E6E9 |
| Base 3 | 10000002101 |
| As time | 59113 seconds = 16 h 25 min 13 s |
Is 59113 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59113 a prime number?
Yes. 59113 is divisible only by 1 and itself.
What are the factors of 59113?
1, 59113.
What is 59113 in binary?
1110011011101001 (hexadecimal E6E9, octal 163351).
What is the square root of 59113?
About 243.1317.
Is 59113 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 59113?
59113 is the 5977th prime number.