The number 49742
49742 is a composite number with 32 divisors. Its prime factorisation is 2 × 7 × 11 × 17 × 19. Divisors (32): 1, 2, 7, 11, 14, 17, 19, 22, 34, 38, 77, 119, 133, 154, 187, 209 … 49742.
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How to work it out
- 1
49742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49742 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 49742 itself that is 53938, so 49742 is abundant (53938 is more than 49742). Euler's totient φ(49742) = 17280 numbers up to 49742 share no factor with it.
- 4
The digits of 49742 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49742 = 2 \times 7 \times 11 \times 17 \times 19 \]
49742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 17280 |
| Square | 2474266564 |
| Cube | 123074967426488 |
| Square root | 223.029146 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9742 × |
49742 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and forty-two |
| Binary (base 2) | 1100001001001110 |
| Octal (base 8) | 141116 |
| Hexadecimal (base 16) | C24E |
| Base 3 | 2112020022 |
| As time | 49742 seconds = 13 h 49 min 2 s |
Is 49742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49742 ÷ 2 = 24871) | 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 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49742 ÷ 7 = 7106) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (49742 ÷ 11 = 4522) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49742 a prime number?
No. 49742 = 2 × 7 × 11 × 17 × 19, so it is divisible by 2.
What are the factors of 49742?
1, 2, 7, 11, 14, 17, 19, 22, 34, 38, 77, 119, 133, 154, 187, 209, 238, 266, 323, 374, 418, 646, 1309, 1463, 2261, 2618, 2926, 3553, 4522, 7106, 24871, 49742.
What is 49742 in binary?
1100001001001110 (hexadecimal C24E, octal 141116).
What is the square root of 49742?
About 223.0291.
Is 49742 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49742?
It is a composite number with 32 divisors.