The number 48339
48339 is a composite number with 12 divisors. Its prime factorisation is × 41 × 131. Divisors (12): 1, 3, 9, 41, 123, 131, 369, 393, 1179, 5371, 16113, 48339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48339 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48339 is composite. Its prime factorisation is
- 3
The divisors add up to 72072; without 48339 itself that is 23733, so 48339 is deficient (23733 is less than 48339). Euler's totient φ(48339) = 31200 numbers up to 48339 share no factor with it.
- 4
The digits of 48339 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48339 = 3^{2} \times 41 \times 131 \]48339 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72072 |
| Euler totient φ(n) | 31200 |
| Square | 2336658921 |
| Cube | 112951755582219 |
| Square root | 219.861320 (= 3√5371) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8339 × |
48339 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand three hundred and thirty-nine |
| Binary (base 2) | 1011110011010011 |
| Octal (base 8) | 136323 |
| Hexadecimal (base 16) | BCD3 |
| Base 3 | 2110022100 |
| As time | 48339 seconds = 13 h 25 min 39 s |
Is 48339 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 | Yes (48339 ÷ 3 = 16113) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (48339 ÷ 9 = 5371) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48339 a prime number?
No. 48339 = × 41 × 131, so it is divisible by 3.
What are the factors of 48339?
1, 3, 9, 41, 123, 131, 369, 393, 1179, 5371, 16113, 48339.
What is 48339 in binary?
1011110011010011 (hexadecimal BCD3, octal 136323).
What is the square root of 48339?
About 219.8613, exactly 3√5371.
Is 48339 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48339?
It is a composite number with 12 divisors.