The number 47742
47742 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 73 × 109. Divisors (16): 1, 2, 3, 6, 73, 109, 146, 218, 219, 327, 438, 654, 7957, 15914, 23871, 47742.
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How to work it out
- 1
47742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47742 is composite. Its prime factorisation is
- 3
The divisors add up to 97680; without 47742 itself that is 49938, so 47742 is abundant (49938 is more than 47742). Euler's totient φ(47742) = 15552 numbers up to 47742 share no factor with it.
- 4
The digits of 47742 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47742 = 2 \times 3 \times 73 \times 109 \]
47742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97680 |
| Euler totient φ(n) | 15552 |
| Square | 2279298564 |
| Cube | 108818272042488 |
| Square root | 218.499428 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7742 × |
47742 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and forty-two |
| Binary (base 2) | 1011101001111110 |
| Octal (base 8) | 135176 |
| Hexadecimal (base 16) | BA7E |
| Base 3 | 2102111020 |
| As time | 47742 seconds = 13 h 15 min 42 s |
Is 47742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47742 ÷ 2 = 23871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47742 ÷ 3 = 15914) | 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 | Yes (47742 ÷ 6 = 7957) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47742 a prime number?
No. 47742 = 2 × 3 × 73 × 109, so it is divisible by 2.
What are the factors of 47742?
1, 2, 3, 6, 73, 109, 146, 218, 219, 327, 438, 654, 7957, 15914, 23871, 47742.
What is 47742 in binary?
1011101001111110 (hexadecimal BA7E, octal 135176).
What is the square root of 47742?
About 218.4994.
Is 47742 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47742?
It is a composite number with 16 divisors.