The number 49844
49844 is a composite number with 12 divisors. Its prime factorisation is × 17 × 733. Divisors (12): 1, 2, 4, 17, 34, 68, 733, 1466, 2932, 12461, 24922, 49844.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49844: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49844 is composite. Its prime factorisation is
- 3
The divisors add up to 92484; without 49844 itself that is 42640, so 49844 is deficient (42640 is less than 49844). Euler's totient φ(49844) = 23424 numbers up to 49844 share no factor with it.
- 4
The digits of 49844 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49844 = 2^{2} \times 17 \times 733 \]49844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 92484 |
| Euler totient φ(n) | 23424 |
| Square | 2484424336 |
| Cube | 123833646603584 |
| Square root | 223.257699 (= 2√12461) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9844 × |
49844 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and forty-four |
| Binary (base 2) | 1100001010110100 |
| Octal (base 8) | 141264 |
| Hexadecimal (base 16) | C2B4 |
| Base 3 | 2112101002 |
| As time | 49844 seconds = 13 h 50 min 44 s |
Is 49844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49844 ÷ 2 = 24922) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49844 ÷ 4 = 12461) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49844 a prime number?
No. 49844 = × 17 × 733, so it is divisible by 2.
What are the factors of 49844?
1, 2, 4, 17, 34, 68, 733, 1466, 2932, 12461, 24922, 49844.
What is 49844 in binary?
1100001010110100 (hexadecimal C2B4, octal 141264).
What is the square root of 49844?
About 223.2577, exactly 2√12461.
Is 49844 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49844?
49844 is a happy number: repeatedly adding the squares of its digits reaches 1.