The number 59093
59093 is the 5975th prime number. Its only divisors are 1 and 59093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59093: the 5975th prime number.
- 2
59093 is prime, so its only factors are 1 and 59093. It is the 5975th prime; the next prime is 59107 and the one before is 59083.
- 3
The divisors add up to 59094; without 59093 itself that is 1, so 59093 is deficient (1 is less than 59093). Euler's totient φ(59093) = 59092 numbers up to 59093 share no factor with it.
- 4
The digits of 59093 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
59093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59094 |
| Euler totient φ(n) | 59092 |
| Square | 3491982649 |
| Cube | 206351730677357 |
| Square root | 243.090518 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9093 × |
59093 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and ninety-three |
| Binary (base 2) | 1110011011010101 |
| Octal (base 8) | 163325 |
| Hexadecimal (base 16) | E6D5 |
| Base 3 | 10000001122 |
| As time | 59093 seconds = 16 h 24 min 53 s |
Is 59093 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 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59093 a prime number?
Yes. 59093 is divisible only by 1 and itself.
What are the factors of 59093?
1, 59093.
What is 59093 in binary?
1110011011010101 (hexadecimal E6D5, octal 163325).
What is the square root of 59093?
About 243.0905.
Is 59093 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 59093?
59093 is the 5975th prime number.