The number 48491
48491 is the 4989th prime number. Its only divisors are 1 and 48491.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48491: the 4989th prime number.
- 2
48491 is prime, so its only factors are 1 and 48491. It is the 4989th prime; the next prime is 48497 and the one before is 48487.
- 3
The divisors add up to 48492; without 48491 itself that is 1, so 48491 is deficient (1 is less than 48491). Euler's totient φ(48491) = 48490 numbers up to 48491 share no factor with it.
- 4
The digits of 48491 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 83 steps to reach 1.
48491 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48492 |
| Euler totient φ(n) | 48490 |
| Square | 2351377081 |
| Cube | 114020626034771 |
| Square root | 220.206721 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8491 × |
48491 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and ninety-one |
| Binary (base 2) | 1011110101101011 |
| Octal (base 8) | 136553 |
| Hexadecimal (base 16) | BD6B |
| Base 3 | 2110111222 |
| As time | 48491 seconds = 13 h 28 min 11 s |
Is 48491 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 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 3) | 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 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48491 a prime number?
Yes. 48491 is divisible only by 1 and itself.
What are the factors of 48491?
1, 48491.
What is 48491 in binary?
1011110101101011 (hexadecimal BD6B, octal 136553).
What is the square root of 48491?
About 220.2067.
Is 48491 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48491?
48491 is the 4989th prime number.