The number 47642
47642 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 41 × 83. Divisors (16): 1, 2, 7, 14, 41, 82, 83, 166, 287, 574, 581, 1162, 3403, 6806, 23821, 47642.
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How to work it out
- 1
47642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47642 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 47642 itself that is 37030, so 47642 is deficient (37030 is less than 47642). Euler's totient φ(47642) = 19680 numbers up to 47642 share no factor with it.
- 4
The digits of 47642 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47642 = 2 \times 7 \times 41 \times 83 \]
47642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 19680 |
| Square | 2269760164 |
| Cube | 108135913733288 |
| Square root | 218.270474 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7642 × |
47642 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and forty-two |
| Binary (base 2) | 1011101000011010 |
| Octal (base 8) | 135032 |
| Hexadecimal (base 16) | BA1A |
| Base 3 | 2102100112 |
| As time | 47642 seconds = 13 h 14 min 2 s |
Is 47642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47642 ÷ 2 = 23821) | 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 (47642 ÷ 7 = 6806) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 47642 a prime number?
No. 47642 = 2 × 7 × 41 × 83, so it is divisible by 2.
What are the factors of 47642?
1, 2, 7, 14, 41, 82, 83, 166, 287, 574, 581, 1162, 3403, 6806, 23821, 47642.
What is 47642 in binary?
1011101000011010 (hexadecimal BA1A, octal 135032).
What is the square root of 47642?
About 218.2705.
Is 47642 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47642?
It is a composite number with 16 divisors.