The number 48733
48733 is a twin prime (48731 and 48733 are both prime) and the 5010th prime number. Its only divisors are 1 and 48733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48733: a twin prime (48731 and 48733 are both prime); the 5010th prime number.
- 2
48733 is prime, so its only factors are 1 and 48733. It is the 5010th prime; the next prime is 48751 and the one before is 48731.
- 3
The divisors add up to 48734; without 48733 itself that is 1, so 48733 is deficient (1 is less than 48733). Euler's totient φ(48733) = 48732 numbers up to 48733 share no factor with it.
- 4
The digits of 48733 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 39 steps to reach 1.
48733 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48734 |
| Euler totient φ(n) | 48732 |
| Square | 2374905289 |
| Cube | 115736259448837 |
| Square root | 220.755521 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.8733 × |
48733 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and thirty-three |
| Binary (base 2) | 1011111001011101 |
| Octal (base 8) | 137135 |
| Hexadecimal (base 16) | BE5D |
| Base 3 | 2110211221 |
| As time | 48733 seconds = 13 h 32 min 13 s |
Is 48733 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48733 a prime number?
Yes. 48733 is divisible only by 1 and itself.
What are the factors of 48733?
1, 48733.
What is 48733 in binary?
1011111001011101 (hexadecimal BE5D, octal 137135).
What is the square root of 48733?
About 220.7555.
Is 48733 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48733?
48733 is a twin prime (48731 and 48733 are both prime); the 5010th prime number.