The number 53381
53381 is the 5444th prime number. Its only divisors are 1 and 53381.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53381: the 5444th prime number.
- 2
53381 is prime, so its only factors are 1 and 53381. It is the 5444th prime; the next prime is 53401 and the one before is 53377.
- 3
The divisors add up to 53382; without 53381 itself that is 1, so 53381 is deficient (1 is less than 53381). Euler's totient φ(53381) = 53380 numbers up to 53381 share no factor with it.
- 4
The digits of 53381 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 171 steps to reach 1.
53381 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53382 |
| Euler totient φ(n) | 53380 |
| Square | 2849531161 |
| Cube | 152110822905341 |
| Square root | 231.043286 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.3381 × |
53381 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and eighty-one |
| Binary (base 2) | 1101000010000101 |
| Octal (base 8) | 150205 |
| Hexadecimal (base 16) | D085 |
| Base 3 | 2201020002 |
| As time | 53381 seconds = 14 h 49 min 41 s |
Is 53381 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 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53381 a prime number?
Yes. 53381 is divisible only by 1 and itself.
What are the factors of 53381?
1, 53381.
What is 53381 in binary?
1101000010000101 (hexadecimal D085, octal 150205).
What is the square root of 53381?
About 231.0433.
Is 53381 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53381?
53381 is the 5444th prime number.