The number 49338
49338 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2741. Divisors (12): 1, 2, 3, 6, 9, 18, 2741, 5482, 8223, 16446, 24669, 49338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49338 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49338 is composite. Its prime factorisation is
- 3
The divisors add up to 106938; without 49338 itself that is 57600, so 49338 is abundant (57600 is more than 49338). Euler's totient φ(49338) = 16440 numbers up to 49338 share no factor with it.
- 4
The digits of 49338 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49338 = 2 \times 3^{2} \times 2741 \]49338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 106938 |
| Euler totient φ(n) | 16440 |
| Square | 2434238244 |
| Cube | 120100446482472 |
| Square root | 222.121588 (= 3√5482) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9338 × |
49338 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and thirty-eight |
| Binary (base 2) | 1100000010111010 |
| Octal (base 8) | 140272 |
| Hexadecimal (base 16) | C0BA |
| Base 3 | 2111200100 |
| As time | 49338 seconds = 13 h 42 min 18 s |
Is 49338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49338 ÷ 2 = 24669) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49338 ÷ 3 = 16446) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (49338 ÷ 6 = 8223) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49338 ÷ 9 = 5482) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49338 a prime number?
No. 49338 = 2 × × 2741, so it is divisible by 2.
What are the factors of 49338?
1, 2, 3, 6, 9, 18, 2741, 5482, 8223, 16446, 24669, 49338.
What is 49338 in binary?
1100000010111010 (hexadecimal C0BA, octal 140272).
What is the square root of 49338?
About 222.1216, exactly 3√5482.
Is 49338 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49338?
It is a composite number with 12 divisors.