The number 59369
59369 is the 6001st prime number. Its only divisors are 1 and 59369.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59369: the 6001st prime number.
- 2
59369 is prime, so its only factors are 1 and 59369. It is the 6001st prime; the next prime is 59377 and the one before is 59359.
- 3
The divisors add up to 59370; without 59369 itself that is 1, so 59369 is deficient (1 is less than 59369). Euler's totient φ(59369) = 59368 numbers up to 59369 share no factor with it.
- 4
The digits of 59369 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
59369 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59370 |
| Euler totient φ(n) | 59368 |
| Square | 3524678161 |
| Cube | 209256617740409 |
| Square root | 243.657547 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9369 × |
59369 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand three hundred and sixty-nine |
| Binary (base 2) | 1110011111101001 |
| Octal (base 8) | 163751 |
| Hexadecimal (base 16) | E7E9 |
| Base 3 | 10000102212 |
| As time | 59369 seconds = 16 h 29 min 29 s |
Is 59369 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 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 1) | 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 2) | 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 59369 a prime number?
Yes. 59369 is divisible only by 1 and itself.
What are the factors of 59369?
1, 59369.
What is 59369 in binary?
1110011111101001 (hexadecimal E7E9, octal 163751).
What is the square root of 59369?
About 243.6575.
Is 59369 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 59369?
59369 is the 6001st prime number.