The number 47116
47116 is a composite number with 6 divisors. Its prime factorisation is × 11779. Divisors (6): 1, 2, 4, 11779, 23558, 47116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47116: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47116 is composite. Its prime factorisation is
- 3
The divisors add up to 82460; without 47116 itself that is 35344, so 47116 is deficient (35344 is less than 47116). Euler's totient φ(47116) = 23556 numbers up to 47116 share no factor with it.
- 4
The digits of 47116 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47116 = 2^{2} \times 11779 \]47116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 82460 |
| Euler totient φ(n) | 23556 |
| Square | 2219917456 |
| Cube | 104593630856896 |
| Square root | 217.062203 (= 2√11779) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7116 × |
47116 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and sixteen |
| Binary (base 2) | 1011100000001100 |
| Octal (base 8) | 134014 |
| Hexadecimal (base 16) | B80C |
| Base 3 | 2101122001 |
| As time | 47116 seconds = 13 h 5 min 16 s |
Is 47116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47116 ÷ 2 = 23558) | 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 | Yes (47116 ÷ 4 = 11779) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47116 a prime number?
No. 47116 = × 11779, so it is divisible by 2.
What are the factors of 47116?
1, 2, 4, 11779, 23558, 47116.
What is 47116 in binary?
1011100000001100 (hexadecimal B80C, octal 134014).
What is the square root of 47116?
About 217.0622, exactly 2√11779.
Is 47116 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47116?
47116 is a happy number: repeatedly adding the squares of its digits reaches 1.