The number 47466
47466 is a composite number with 20 divisors. Its prime factorisation is 2 × × 293. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 293, 586, 879, 1758, 2637, 5274 … 47466.
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How to work it out
- 1
What is special about 47466: a Harshad number: divisible by its digit sum 27.
- 2
47466 is composite. Its prime factorisation is
- 3
The divisors add up to 106722; without 47466 itself that is 59256, so 47466 is abundant (59256 is more than 47466). Euler's totient φ(47466) = 15768 numbers up to 47466 share no factor with it.
- 4
The digits of 47466 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47466 = 2 \times 3^{4} \times 293 \]47466 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 106722 |
| Euler totient φ(n) | 15768 |
| Square | 2253021156 |
| Cube | 106941902190696 |
| Square root | 217.866932 (= 9√586) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7466 × |
47466 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and sixty-six |
| Binary (base 2) | 1011100101101010 |
| Octal (base 8) | 134552 |
| Hexadecimal (base 16) | B96A |
| Base 3 | 2102010000 |
| As time | 47466 seconds = 13 h 11 min 6 s |
Is 47466 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47466 ÷ 2 = 23733) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47466 ÷ 3 = 15822) | 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 (47466 ÷ 6 = 7911) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (47466 ÷ 9 = 5274) | 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 1) | 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 47466 a prime number?
No. 47466 = 2 × × 293, so it is divisible by 2.
What are the factors of 47466?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 293, 586, 879, 1758, 2637, 5274, 7911, 15822, 23733, 47466.
What is 47466 in binary?
1011100101101010 (hexadecimal B96A, octal 134552).
What is the square root of 47466?
About 217.8669, exactly 9√586.
Is 47466 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47466?
47466 is a Harshad number: divisible by its digit sum 27.