The number 49332
49332 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4111. Divisors (12): 1, 2, 3, 4, 6, 12, 4111, 8222, 12333, 16444, 24666, 49332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49332 is composite. Its prime factorisation is
- 3
The divisors add up to 115136; without 49332 itself that is 65804, so 49332 is abundant (65804 is more than 49332). Euler's totient φ(49332) = 16440 numbers up to 49332 share no factor with it.
- 4
The digits of 49332 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49332 = 2^{2} \times 3 \times 4111 \]49332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 115136 |
| Euler totient φ(n) | 16440 |
| Square | 2433646224 |
| Cube | 120056635522368 |
| Square root | 222.108082 (= 2√12333) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9332 × |
49332 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and thirty-two |
| Binary (base 2) | 1100000010110100 |
| Octal (base 8) | 140264 |
| Hexadecimal (base 16) | C0B4 |
| Base 3 | 2111200010 |
| As time | 49332 seconds = 13 h 42 min 12 s |
Is 49332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49332 ÷ 2 = 24666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49332 ÷ 3 = 16444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49332 ÷ 4 = 12333) | 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 | Yes (49332 ÷ 6 = 8222) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49332 ÷ 12 = 4111) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49332 a prime number?
No. 49332 = × 3 × 4111, so it is divisible by 2.
What are the factors of 49332?
1, 2, 3, 4, 6, 12, 4111, 8222, 12333, 16444, 24666, 49332.
What is 49332 in binary?
1100000010110100 (hexadecimal C0B4, octal 140264).
What is the square root of 49332?
About 222.1081, exactly 2√12333.
Is 49332 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49332?
It is a composite number with 12 divisors.