The number 48673
48673 is the 5006th prime number. Its only divisors are 1 and 48673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48673: the 5006th prime number.
- 2
48673 is prime, so its only factors are 1 and 48673. It is the 5006th prime; the next prime is 48677 and the one before is 48661.
- 3
The divisors add up to 48674; without 48673 itself that is 1, so 48673 is deficient (1 is less than 48673). Euler's totient φ(48673) = 48672 numbers up to 48673 share no factor with it.
- 4
The digits of 48673 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
48673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48674 |
| Euler totient φ(n) | 48672 |
| Square | 2369060929 |
| Cube | 115309302597217 |
| Square root | 220.619582 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8673 × |
48673 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and seventy-three |
| Binary (base 2) | 1011111000100001 |
| Octal (base 8) | 137041 |
| Hexadecimal (base 16) | BE21 |
| Base 3 | 2110202201 |
| As time | 48673 seconds = 13 h 31 min 13 s |
Is 48673 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 2) | 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 1) | 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 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48673 a prime number?
Yes. 48673 is divisible only by 1 and itself.
What are the factors of 48673?
1, 48673.
What is 48673 in binary?
1011111000100001 (hexadecimal BE21, octal 137041).
What is the square root of 48673?
About 220.6196.
Is 48673 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48673?
48673 is the 5006th prime number.