The number 48337
48337 is the 4973rd prime number. Its only divisors are 1 and 48337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48337: the 4973rd prime number.
- 2
48337 is prime, so its only factors are 1 and 48337. It is the 4973rd prime; the next prime is 48341 and the one before is 48313.
- 3
The divisors add up to 48338; without 48337 itself that is 1, so 48337 is deficient (1 is less than 48337). Euler's totient φ(48337) = 48336 numbers up to 48337 share no factor with it.
- 4
The digits of 48337 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
48337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48338 |
| Euler totient φ(n) | 48336 |
| Square | 2336465569 |
| Cube | 112937736208753 |
| Square root | 219.856772 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8337 × |
48337 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and thirty-seven |
| Binary (base 2) | 1011110011010001 |
| Octal (base 8) | 136321 |
| Hexadecimal (base 16) | BCD1 |
| Base 3 | 2110022021 |
| As time | 48337 seconds = 13 h 25 min 37 s |
Is 48337 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 2) | 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 7) | 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 3) | 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 48337 a prime number?
Yes. 48337 is divisible only by 1 and itself.
What are the factors of 48337?
1, 48337.
What is 48337 in binary?
1011110011010001 (hexadecimal BCD1, octal 136321).
What is the square root of 48337?
About 219.8568.
Is 48337 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48337?
48337 is the 4973rd prime number.