The number 47108
47108 is a composite number with 6 divisors. Its prime factorisation is × 11777. Divisors (6): 1, 2, 4, 11777, 23554, 47108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47108: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47108 is composite. Its prime factorisation is
- 3
The divisors add up to 82446; without 47108 itself that is 35338, so 47108 is deficient (35338 is less than 47108). Euler's totient φ(47108) = 23552 numbers up to 47108 share no factor with it.
- 4
The digits of 47108 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47108 = 2^{2} \times 11777 \]47108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 82446 |
| Euler totient φ(n) | 23552 |
| Square | 2219163664 |
| Cube | 104540361883712 |
| Square root | 217.043774 (= 2√11777) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7108 × |
47108 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and eight |
| Binary (base 2) | 1011100000000100 |
| Octal (base 8) | 134004 |
| Hexadecimal (base 16) | B804 |
| Base 3 | 2101121202 |
| As time | 47108 seconds = 13 h 5 min 8 s |
Is 47108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47108 ÷ 2 = 23554) | 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 | Yes (47108 ÷ 4 = 11777) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47108 a prime number?
No. 47108 = × 11777, so it is divisible by 2.
What are the factors of 47108?
1, 2, 4, 11777, 23554, 47108.
What is 47108 in binary?
1011100000000100 (hexadecimal B804, octal 134004).
What is the square root of 47108?
About 217.0438, exactly 2√11777.
Is 47108 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47108?
47108 is a happy number: repeatedly adding the squares of its digits reaches 1.