The number 49744
49744 is a composite number with 10 divisors. Its prime factorisation is × 3109. Divisors (10): 1, 2, 4, 8, 16, 3109, 6218, 12436, 24872, 49744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49744 is composite. Its prime factorisation is
- 3
The divisors add up to 96410; without 49744 itself that is 46666, so 49744 is deficient (46666 is less than 49744). Euler's totient φ(49744) = 24864 numbers up to 49744 share no factor with it.
- 4
The digits of 49744 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49744 = 2^{4} \times 3109 \]49744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 96410 |
| Euler totient φ(n) | 24864 |
| Square | 2474465536 |
| Cube | 123089813622784 |
| Square root | 223.033630 (= 4√3109) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9744 × |
49744 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and forty-four |
| Binary (base 2) | 1100001001010000 |
| Octal (base 8) | 141120 |
| Hexadecimal (base 16) | C250 |
| Base 3 | 2112020101 |
| As time | 49744 seconds = 13 h 49 min 4 s |
Is 49744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49744 ÷ 2 = 24872) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49744 ÷ 4 = 12436) | 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 4) | 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 | Yes (49744 ÷ 8 = 6218) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49744 a prime number?
No. 49744 = × 3109, so it is divisible by 2.
What are the factors of 49744?
1, 2, 4, 8, 16, 3109, 6218, 12436, 24872, 49744.
What is 49744 in binary?
1100001001010000 (hexadecimal C250, octal 141120).
What is the square root of 49744?
About 223.0336, exactly 4√3109.
Is 49744 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49744?
It is a composite number with 10 divisors.