The number 47022
47022 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 461. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 461, 922, 1383, 2766, 7837, 15674, 23511, 47022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47022 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47022 is composite. Its prime factorisation is
- 3
The divisors add up to 99792; without 47022 itself that is 52770, so 47022 is abundant (52770 is more than 47022). Euler's totient φ(47022) = 14720 numbers up to 47022 share no factor with it.
- 4
The digits of 47022 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47022 = 2 \times 3 \times 17 \times 461 \]
47022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 99792 |
| Euler totient φ(n) | 14720 |
| Square | 2211068484 |
| Cube | 103968862254648 |
| Square root | 216.845567 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.7022 × |
47022 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and twenty-two |
| Binary (base 2) | 1011011110101110 |
| Octal (base 8) | 133656 |
| Hexadecimal (base 16) | B7AE |
| Base 3 | 2101111120 |
| As time | 47022 seconds = 13 h 3 min 42 s |
Is 47022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47022 ÷ 2 = 23511) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47022 ÷ 3 = 15674) | 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 (47022 ÷ 6 = 7837) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 8) | 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 47022 a prime number?
No. 47022 = 2 × 3 × 17 × 461, so it is divisible by 2.
What are the factors of 47022?
1, 2, 3, 6, 17, 34, 51, 102, 461, 922, 1383, 2766, 7837, 15674, 23511, 47022.
What is 47022 in binary?
1011011110101110 (hexadecimal B7AE, octal 133656).
What is the square root of 47022?
About 216.8456.
Is 47022 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 47022?
It is a composite number with 16 divisors.