The number 47542
47542 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2161. Divisors (8): 1, 2, 11, 22, 2161, 4322, 23771, 47542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47542: a Harshad number: divisible by its digit sum 22.
- 2
47542 is composite. Its prime factorisation is
- 3
The divisors add up to 77832; without 47542 itself that is 30290, so 47542 is deficient (30290 is less than 47542). Euler's totient φ(47542) = 21600 numbers up to 47542 share no factor with it.
- 4
The digits of 47542 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47542 = 2 \times 11 \times 2161 \]
47542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 77832 |
| Euler totient φ(n) | 21600 |
| Square | 2260241764 |
| Cube | 107456413944088 |
| Square root | 218.041280 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7542 × |
47542 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and forty-two |
| Binary (base 2) | 1011100110110110 |
| Octal (base 8) | 134666 |
| Hexadecimal (base 16) | B9B6 |
| Base 3 | 2102012211 |
| As time | 47542 seconds = 13 h 12 min 22 s |
Is 47542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47542 ÷ 2 = 23771) | 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 5) | 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 4) | 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 (47542 ÷ 11 = 4322) | 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 47542 a prime number?
No. 47542 = 2 × 11 × 2161, so it is divisible by 2.
What are the factors of 47542?
1, 2, 11, 22, 2161, 4322, 23771, 47542.
What is 47542 in binary?
1011100110110110 (hexadecimal B9B6, octal 134666).
What is the square root of 47542?
About 218.0413.
Is 47542 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47542?
47542 is a Harshad number: divisible by its digit sum 22.