The number 47226
47226 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 463. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 463, 926, 1389, 2778, 7871, 15742, 23613, 47226.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47226: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47226 is composite. Its prime factorisation is
- 3
The divisors add up to 100224; without 47226 itself that is 52998, so 47226 is abundant (52998 is more than 47226). Euler's totient φ(47226) = 14784 numbers up to 47226 share no factor with it.
- 4
The digits of 47226 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47226 = 2 \times 3 \times 17 \times 463 \]
47226 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100224 |
| Euler totient φ(n) | 14784 |
| Square | 2230295076 |
| Cube | 105327915259176 |
| Square root | 217.315439 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7226 × |
47226 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and twenty-six |
| Binary (base 2) | 1011100001111010 |
| Octal (base 8) | 134172 |
| Hexadecimal (base 16) | B87A |
| Base 3 | 2101210010 |
| As time | 47226 seconds = 13 h 7 min 6 s |
Is 47226 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47226 ÷ 2 = 23613) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47226 ÷ 3 = 15742) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47226 ÷ 6 = 7871) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47226 a prime number?
No. 47226 = 2 × 3 × 17 × 463, so it is divisible by 2.
What are the factors of 47226?
1, 2, 3, 6, 17, 34, 51, 102, 463, 926, 1389, 2778, 7871, 15742, 23613, 47226.
What is 47226 in binary?
1011100001111010 (hexadecimal B87A, octal 134172).
What is the square root of 47226?
About 217.3154.
Is 47226 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47226?
47226 is a happy number: repeatedly adding the squares of its digits reaches 1.