The number 53359
53359 is the 5442nd prime number. Its only divisors are 1 and 53359.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53359: the 5442nd prime number.
- 2
53359 is prime, so its only factors are 1 and 53359. It is the 5442nd prime; the next prime is 53377 and the one before is 53353.
- 3
The divisors add up to 53360; without 53359 itself that is 1, so 53359 is deficient (1 is less than 53359). Euler's totient φ(53359) = 53358 numbers up to 53359 share no factor with it.
- 4
The digits of 53359 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
53359 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53360 |
| Euler totient φ(n) | 53358 |
| Square | 2847182881 |
| Cube | 151922831347279 |
| Square root | 230.995671 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.3359 × |
53359 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and fifty-nine |
| Binary (base 2) | 1101000001101111 |
| Octal (base 8) | 150157 |
| Hexadecimal (base 16) | D06F |
| Base 3 | 2201012021 |
| As time | 53359 seconds = 14 h 49 min 19 s |
Is 53359 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 53359 a prime number?
Yes. 53359 is divisible only by 1 and itself.
What are the factors of 53359?
1, 53359.
What is 53359 in binary?
1101000001101111 (hexadecimal D06F, octal 150157).
What is the square root of 53359?
About 230.9957.
Is 53359 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53359?
53359 is the 5442nd prime number.