The number 53731
53731 is the 5476th prime number. Its only divisors are 1 and 53731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53731: the 5476th prime number.
- 2
53731 is prime, so its only factors are 1 and 53731. It is the 5476th prime; the next prime is 53759 and the one before is 53719.
- 3
The divisors add up to 53732; without 53731 itself that is 1, so 53731 is deficient (1 is less than 53731). Euler's totient φ(53731) = 53730 numbers up to 53731 share no factor with it.
- 4
The digits of 53731 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
53731 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53732 |
| Euler totient φ(n) | 53730 |
| Square | 2887020361 |
| Cube | 155122491016891 |
| Square root | 231.799482 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3731 × |
53731 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and thirty-one |
| Binary (base 2) | 1101000111100011 |
| Octal (base 8) | 150743 |
| Hexadecimal (base 16) | D1E3 |
| Base 3 | 2201201001 |
| As time | 53731 seconds = 14 h 55 min 31 s |
Is 53731 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | 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 53731 a prime number?
Yes. 53731 is divisible only by 1 and itself.
What are the factors of 53731?
1, 53731.
What is 53731 in binary?
1101000111100011 (hexadecimal D1E3, octal 150743).
What is the square root of 53731?
About 231.7995.
Is 53731 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 53731?
53731 is the 5476th prime number.