The number 49944
49944 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2081. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2081, 4162, 6243, 8324, 12486, 16648, 24972, 49944.
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How to work it out
- 1
49944 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49944 is composite. Its prime factorisation is
- 3
The divisors add up to 124920; without 49944 itself that is 74976, so 49944 is abundant (74976 is more than 49944). Euler's totient φ(49944) = 16640 numbers up to 49944 share no factor with it.
- 4
The digits of 49944 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49944 = 2^{3} \times 3 \times 2081 \]49944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124920 |
| Euler totient φ(n) | 16640 |
| Square | 2494403136 |
| Cube | 124580470224384 |
| Square root | 223.481543 (= 2√12486) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9944 × |
49944 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and forty-four |
| Binary (base 2) | 1100001100011000 |
| Octal (base 8) | 141430 |
| Hexadecimal (base 16) | C318 |
| Base 3 | 2112111210 |
| As time | 49944 seconds = 13 h 52 min 24 s |
Is 49944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49944 ÷ 2 = 24972) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49944 ÷ 3 = 16648) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49944 ÷ 4 = 12486) | 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 | Yes (49944 ÷ 6 = 8324) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (49944 ÷ 8 = 6243) | 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 4) | 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 | Yes (49944 ÷ 12 = 4162) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49944 a prime number?
No. 49944 = × 3 × 2081, so it is divisible by 2.
What are the factors of 49944?
1, 2, 3, 4, 6, 8, 12, 24, 2081, 4162, 6243, 8324, 12486, 16648, 24972, 49944.
What is 49944 in binary?
1100001100011000 (hexadecimal C318, octal 141430).
What is the square root of 49944?
About 223.4815, exactly 2√12486.
Is 49944 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 49944?
It is a composite number with 16 divisors.