The number 48497
48497 is the 4990th prime number. Its only divisors are 1 and 48497.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48497: the 4990th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48497 is prime, so its only factors are 1 and 48497. It is the 4990th prime; the next prime is 48523 and the one before is 48491.
- 3
The divisors add up to 48498; without 48497 itself that is 1, so 48497 is deficient (1 is less than 48497). Euler's totient φ(48497) = 48496 numbers up to 48497 share no factor with it.
- 4
The digits of 48497 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
48497 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48498 |
| Euler totient φ(n) | 48496 |
| Square | 2351959009 |
| Cube | 114062956059473 |
| Square root | 220.220344 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8497 × |
48497 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and ninety-seven |
| Binary (base 2) | 1011110101110001 |
| Octal (base 8) | 136561 |
| Hexadecimal (base 16) | BD71 |
| Base 3 | 2110112012 |
| As time | 48497 seconds = 13 h 28 min 17 s |
Is 48497 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 2) | 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 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48497 a prime number?
Yes. 48497 is divisible only by 1 and itself.
What are the factors of 48497?
1, 48497.
What is 48497 in binary?
1011110101110001 (hexadecimal BD71, octal 136561).
What is the square root of 48497?
About 220.2203.
Is 48497 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48497?
48497 is the 4990th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.