The number 48731
48731 is a twin prime (48731 and 48733 are both prime) and the 5009th prime number. Its only divisors are 1 and 48731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48731: a twin prime (48731 and 48733 are both prime); the 5009th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48731 is prime, so its only factors are 1 and 48731. It is the 5009th prime; the next prime is 48733 and the one before is 48679.
- 3
The divisors add up to 48732; without 48731 itself that is 1, so 48731 is deficient (1 is less than 48731). Euler's totient φ(48731) = 48730 numbers up to 48731 share no factor with it.
- 4
The digits of 48731 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
48731 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48732 |
| Euler totient φ(n) | 48730 |
| Square | 2374710361 |
| Cube | 115722010601891 |
| Square root | 220.750991 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8731 × |
48731 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and thirty-one |
| Binary (base 2) | 1011111001011011 |
| Octal (base 8) | 137133 |
| Hexadecimal (base 16) | BE5B |
| Base 3 | 2110211212 |
| As time | 48731 seconds = 13 h 32 min 11 s |
Is 48731 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 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 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48731 a prime number?
Yes. 48731 is divisible only by 1 and itself.
What are the factors of 48731?
1, 48731.
What is 48731 in binary?
1011111001011011 (hexadecimal BE5B, octal 137133).
What is the square root of 48731?
About 220.7510.
Is 48731 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48731?
48731 is a twin prime (48731 and 48733 are both prime); the 5009th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.