The number 48391
48391 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 223. Divisors (8): 1, 7, 31, 217, 223, 1561, 6913, 48391.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48391 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48391 is composite. Its prime factorisation is
- 3
The divisors add up to 57344; without 48391 itself that is 8953, so 48391 is deficient (8953 is less than 48391). Euler's totient φ(48391) = 39960 numbers up to 48391 share no factor with it.
- 4
The digits of 48391 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48391 = 7 \times 31 \times 223 \]
48391 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57344 |
| Euler totient φ(n) | 39960 |
| Square | 2341688881 |
| Cube | 113316666640471 |
| Square root | 219.979545 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.8391 × |
48391 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and ninety-one |
| Binary (base 2) | 1011110100000111 |
| Octal (base 8) | 136407 |
| Hexadecimal (base 16) | BD07 |
| Base 3 | 2110101021 |
| As time | 48391 seconds = 13 h 26 min 31 s |
Is 48391 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48391 ÷ 7 = 6913) | 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 7) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48391 a prime number?
No. 48391 = 7 × 31 × 223, so it is divisible by 7.
What are the factors of 48391?
1, 7, 31, 217, 223, 1561, 6913, 48391.
What is 48391 in binary?
1011110100000111 (hexadecimal BD07, octal 136407).
What is the square root of 48391?
About 219.9795.
Is 48391 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48391?
It is a composite number with 8 divisors.