The number 53309
53309 is the 5438th prime number. Its only divisors are 1 and 53309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53309: the 5438th prime number.
- 2
53309 is prime, so its only factors are 1 and 53309. It is the 5438th prime; the next prime is 53323 and the one before is 53299.
- 3
The divisors add up to 53310; without 53309 itself that is 1, so 53309 is deficient (1 is less than 53309). Euler's totient φ(53309) = 53308 numbers up to 53309 share no factor with it.
- 4
The digits of 53309 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
53309 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53310 |
| Euler totient φ(n) | 53308 |
| Square | 2841849481 |
| Cube | 151496153982629 |
| Square root | 230.887418 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3309 × |
53309 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and nine |
| Binary (base 2) | 1101000000111101 |
| Octal (base 8) | 150075 |
| Hexadecimal (base 16) | D03D |
| Base 3 | 2201010102 |
| As time | 53309 seconds = 14 h 48 min 29 s |
Is 53309 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 4) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53309 a prime number?
Yes. 53309 is divisible only by 1 and itself.
What are the factors of 53309?
1, 53309.
What is 53309 in binary?
1101000000111101 (hexadecimal D03D, octal 150075).
What is the square root of 53309?
About 230.8874.
Is 53309 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53309?
53309 is the 5438th prime number.