The number 47223
47223 is a composite number with 20 divisors. Its prime factorisation is × 11 × 53. Divisors (20): 1, 3, 9, 11, 27, 33, 53, 81, 99, 159, 297, 477, 583, 891, 1431, 1749 … 47223.
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How to work it out
- 1
What is special about 47223: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47223 is composite. Its prime factorisation is
- 3
The divisors add up to 78408; without 47223 itself that is 31185, so 47223 is deficient (31185 is less than 47223). Euler's totient φ(47223) = 28080 numbers up to 47223 share no factor with it.
- 4
The digits of 47223 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47223 = 3^{4} \times 11 \times 53 \]47223 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 78408 |
| Euler totient φ(n) | 28080 |
| Square | 2230011729 |
| Cube | 105307843878567 |
| Square root | 217.308536 (= 9√583) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7223 × |
47223 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and twenty-three |
| Binary (base 2) | 1011100001110111 |
| Octal (base 8) | 134167 |
| Hexadecimal (base 16) | B877 |
| Base 3 | 2101210000 |
| As time | 47223 seconds = 13 h 7 min 3 s |
Is 47223 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 | Yes (47223 ÷ 3 = 15741) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (47223 ÷ 9 = 5247) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47223 ÷ 11 = 4293) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47223 a prime number?
No. 47223 = × 11 × 53, so it is divisible by 3.
What are the factors of 47223?
1, 3, 9, 11, 27, 33, 53, 81, 99, 159, 297, 477, 583, 891, 1431, 1749, 4293, 5247, 15741, 47223.
What is 47223 in binary?
1011100001110111 (hexadecimal B877, octal 134167).
What is the square root of 47223?
About 217.3085, exactly 9√583.
Is 47223 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47223?
47223 is a happy number: repeatedly adding the squares of its digits reaches 1.