The number 59359
59359 is a twin prime (59357 and 59359 are both prime) and the 6000th prime number. Its only divisors are 1 and 59359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59359: a twin prime (59357 and 59359 are both prime); the 6000th prime number.
- 2
59359 is prime, so its only factors are 1 and 59359. It is the 6000th prime; the next prime is 59369 and the one before is 59357.
- 3
The divisors add up to 59360; without 59359 itself that is 1, so 59359 is deficient (1 is less than 59359). Euler's totient φ(59359) = 59358 numbers up to 59359 share no factor with it.
- 4
The digits of 59359 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
59359 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59360 |
| Euler totient φ(n) | 59358 |
| Square | 3523490881 |
| Cube | 209150895205279 |
| Square root | 243.637025 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.9359 × |
59359 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand three hundred and fifty-nine |
| Binary (base 2) | 1110011111011111 |
| Octal (base 8) | 163737 |
| Hexadecimal (base 16) | E7DF |
| Base 3 | 10000102111 |
| As time | 59359 seconds = 16 h 29 min 19 s |
Is 59359 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 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59359 a prime number?
Yes. 59359 is divisible only by 1 and itself.
What are the factors of 59359?
1, 59359.
What is 59359 in binary?
1110011111011111 (hexadecimal E7DF, octal 163737).
What is the square root of 59359?
About 243.6370.
Is 59359 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 59359?
59359 is a twin prime (59357 and 59359 are both prime); the 6000th prime number.