The number 47842
47842 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 1259. Divisors (8): 1, 2, 19, 38, 1259, 2518, 23921, 47842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47842 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 47842 itself that is 27758, so 47842 is deficient (27758 is less than 47842). Euler's totient φ(47842) = 22644 numbers up to 47842 share no factor with it.
- 4
The digits of 47842 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47842 = 2 \times 19 \times 1259 \]
47842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 22644 |
| Square | 2288856964 |
| Cube | 109503494871688 |
| Square root | 218.728142 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7842 × |
47842 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and forty-two |
| Binary (base 2) | 1011101011100010 |
| Octal (base 8) | 135342 |
| Hexadecimal (base 16) | BAE2 |
| Base 3 | 2102121221 |
| As time | 47842 seconds = 13 h 17 min 22 s |
Is 47842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47842 ÷ 2 = 23921) | 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 | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47842 a prime number?
No. 47842 = 2 × 19 × 1259, so it is divisible by 2.
What are the factors of 47842?
1, 2, 19, 38, 1259, 2518, 23921, 47842.
What is 47842 in binary?
1011101011100010 (hexadecimal BAE2, octal 135342).
What is the square root of 47842?
About 218.7281.
Is 47842 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47842?
It is a composite number with 8 divisors.