The number 48371
48371 is the 4976th prime number. Its only divisors are 1 and 48371.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48371: the 4976th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48371 is prime, so its only factors are 1 and 48371. It is the 4976th prime; the next prime is 48383 and the one before is 48353.
- 3
The divisors add up to 48372; without 48371 itself that is 1, so 48371 is deficient (1 is less than 48371). Euler's totient φ(48371) = 48370 numbers up to 48371 share no factor with it.
- 4
The digits of 48371 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
48371 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48372 |
| Euler totient φ(n) | 48370 |
| Square | 2339753641 |
| Cube | 113176223368811 |
| Square root | 219.934081 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8371 × |
48371 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and seventy-one |
| Binary (base 2) | 1011110011110011 |
| Octal (base 8) | 136363 |
| Hexadecimal (base 16) | BCF3 |
| Base 3 | 2110100112 |
| As time | 48371 seconds = 13 h 26 min 11 s |
Is 48371 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 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 48371 a prime number?
Yes. 48371 is divisible only by 1 and itself.
What are the factors of 48371?
1, 48371.
What is 48371 in binary?
1011110011110011 (hexadecimal BCF3, octal 136363).
What is the square root of 48371?
About 219.9341.
Is 48371 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48371?
48371 is the 4976th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.