The number 48473
48473 is the 4985th prime number. Its only divisors are 1 and 48473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48473: the 4985th prime number.
- 2
48473 is prime, so its only factors are 1 and 48473. It is the 4985th prime; the next prime is 48479 and the one before is 48463.
- 3
The divisors add up to 48474; without 48473 itself that is 1, so 48473 is deficient (1 is less than 48473). Euler's totient φ(48473) = 48472 numbers up to 48473 share no factor with it.
- 4
The digits of 48473 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
48473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48474 |
| Euler totient φ(n) | 48472 |
| Square | 2349631729 |
| Cube | 113893698799817 |
| Square root | 220.165847 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8473 × |
48473 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and seventy-three |
| Binary (base 2) | 1011110101011001 |
| Octal (base 8) | 136531 |
| Hexadecimal (base 16) | BD59 |
| Base 3 | 2110111022 |
| As time | 48473 seconds = 13 h 27 min 53 s |
Is 48473 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 3) | 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 5) | 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 8) | 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 7) | 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 48473 a prime number?
Yes. 48473 is divisible only by 1 and itself.
What are the factors of 48473?
1, 48473.
What is 48473 in binary?
1011110101011001 (hexadecimal BD59, octal 136531).
What is the square root of 48473?
About 220.1658.
Is 48473 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48473?
48473 is the 4985th prime number.