The number 47322
47322 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 239. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434 … 47322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47322: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
47322 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 47322 itself that is 64998, so 47322 is abundant (64998 is more than 47322). Euler's totient φ(47322) = 14280 numbers up to 47322 share no factor with it.
- 4
The digits of 47322 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47322 = 2 \times 3^{2} \times 11 \times 239 \]47322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 14280 |
| Square | 2239371684 |
| Cube | 105971546830248 |
| Square root | 217.536204 (= 3√5258) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7322 × |
47322 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and twenty-two |
| Binary (base 2) | 1011100011011010 |
| Octal (base 8) | 134332 |
| Hexadecimal (base 16) | B8DA |
| Base 3 | 2101220200 |
| As time | 47322 seconds = 13 h 8 min 42 s |
Is 47322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47322 ÷ 2 = 23661) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47322 ÷ 3 = 15774) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47322 ÷ 6 = 7887) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (47322 ÷ 9 = 5258) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47322 ÷ 11 = 4302) | 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 47322 a prime number?
No. 47322 = 2 × × 11 × 239, so it is divisible by 2.
What are the factors of 47322?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661, 47322.
What is 47322 in binary?
1011100011011010 (hexadecimal B8DA, octal 134332).
What is the square root of 47322?
About 217.5362, exactly 3√5258.
Is 47322 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47322?
47322 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.