The number 47047
47047 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 13 × 47. Divisors (16): 1, 7, 11, 13, 47, 77, 91, 143, 329, 517, 611, 1001, 3619, 4277, 6721, 47047.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47047: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47047 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 47047 itself that is 17465, so 47047 is deficient (17465 is less than 47047). Euler's totient φ(47047) = 33120 numbers up to 47047 share no factor with it.
- 4
The digits of 47047 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47047 = 7 \times 11 \times 13 \times 47 \]
47047 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 33120 |
| Square | 2213420209 |
| Cube | 104134780572823 |
| Square root | 216.903204 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7047 × |
47047 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and forty-seven |
| Binary (base 2) | 1011011111000111 |
| Octal (base 8) | 133707 |
| Hexadecimal (base 16) | B7C7 |
| Base 3 | 2101112111 |
| As time | 47047 seconds = 13 h 4 min 7 s |
Is 47047 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47047 ÷ 7 = 6721) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47047 ÷ 11 = 4277) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47047 a prime number?
No. 47047 = 7 × 11 × 13 × 47, so it is divisible by 7.
What are the factors of 47047?
1, 7, 11, 13, 47, 77, 91, 143, 329, 517, 611, 1001, 3619, 4277, 6721, 47047.
What is 47047 in binary?
1011011111000111 (hexadecimal B7C7, octal 133707).
What is the square root of 47047?
About 216.9032.
Is 47047 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47047?
47047 is a happy number: repeatedly adding the squares of its digits reaches 1.