The number 48413
48413 is the 4981st prime number. Its only divisors are 1 and 48413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48413: the 4981st prime number.
- 2
48413 is prime, so its only factors are 1 and 48413. It is the 4981st prime; the next prime is 48437 and the one before is 48409.
- 3
The divisors add up to 48414; without 48413 itself that is 1, so 48413 is deficient (1 is less than 48413). Euler's totient φ(48413) = 48412 numbers up to 48413 share no factor with it.
- 4
The digits of 48413 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
48413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48414 |
| Euler totient φ(n) | 48412 |
| Square | 2343818569 |
| Cube | 113471288380997 |
| Square root | 220.029543 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8413 × |
48413 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and thirteen |
| Binary (base 2) | 1011110100011101 |
| Octal (base 8) | 136435 |
| Hexadecimal (base 16) | BD1D |
| Base 3 | 2110102002 |
| As time | 48413 seconds = 13 h 26 min 53 s |
Is 48413 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | 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 48413 a prime number?
Yes. 48413 is divisible only by 1 and itself.
What are the factors of 48413?
1, 48413.
What is 48413 in binary?
1011110100011101 (hexadecimal BD1D, octal 136435).
What is the square root of 48413?
About 220.0295.
Is 48413 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48413?
48413 is the 4981st prime number.