The number 49644
49644 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 197. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 49644.
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How to work it out
- 1
49644 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49644 is composite. Its prime factorisation is
- 3
The divisors add up to 144144; without 49644 itself that is 94500, so 49644 is abundant (94500 is more than 49644). Euler's totient φ(49644) = 14112 numbers up to 49644 share no factor with it.
- 4
The digits of 49644 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
\[ 49644 = 2^{2} \times 3^{2} \times 7 \times 197 \]49644 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 144144 |
| Euler totient φ(n) | 14112 |
| Square | 2464526736 |
| Cube | 122348965281984 |
| Square root | 222.809336 (= 6√1379) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9644 × |
49644 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and forty-four |
| Binary (base 2) | 1100000111101100 |
| Octal (base 8) | 140754 |
| Hexadecimal (base 16) | C1EC |
| Base 3 | 2112002200 |
| As time | 49644 seconds = 13 h 47 min 24 s |
Is 49644 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49644 ÷ 2 = 24822) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49644 ÷ 3 = 16548) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49644 ÷ 4 = 12411) | 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 (49644 ÷ 6 = 8274) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49644 ÷ 7 = 7092) | 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 | Yes (49644 ÷ 9 = 5516) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49644 ÷ 12 = 4137) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49644 a prime number?
No. 49644 = × × 7 × 197, so it is divisible by 2.
What are the factors of 49644?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 197, 252, 394, 591, 788, 1182, 1379, 1773, 2364, 2758, 3546, 4137, 5516, 7092, 8274, 12411, 16548, 24822, 49644.
What is 49644 in binary?
1100000111101100 (hexadecimal C1EC, octal 140754).
What is the square root of 49644?
About 222.8093, exactly 6√1379.
Is 49644 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49644?
It is a composite number with 36 divisors.