The number 47360
47360 is a composite number with 36 divisors. Its prime factorisation is × 5 × 37. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 128, 148 … 47360.
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How to work it out
- 1
What is special about 47360: a Harshad number: divisible by its digit sum 20.
- 2
47360 is composite. Its prime factorisation is
- 3
The divisors add up to 116508; without 47360 itself that is 69148, so 47360 is abundant (69148 is more than 47360). Euler's totient φ(47360) = 18432 numbers up to 47360 share no factor with it.
- 4
The digits of 47360 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47360 = 2^{8} \times 5 \times 37 \]47360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 116508 |
| Euler totient φ(n) | 18432 |
| Square | 2242969600 |
| Cube | 106227040256000 |
| Square root | 217.623528 (= 16√185) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.736 × |
47360 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and sixty |
| Binary (base 2) | 1011100100000000 |
| Octal (base 8) | 134400 |
| Hexadecimal (base 16) | B900 |
| Base 3 | 2101222002 |
| As time | 47360 seconds = 13 h 9 min 20 s |
Is 47360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47360 ÷ 2 = 23680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47360 ÷ 4 = 11840) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47360 ÷ 5 = 9472) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (47360 ÷ 8 = 5920) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47360 ÷ 10 = 4736) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47360 a prime number?
No. 47360 = × 5 × 37, so it is divisible by 2.
What are the factors of 47360?
1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 128, 148, 160, 185, 256, 296, 320, 370, 592, 640, 740, 1184, 1280, 1480, 2368, 2960, 4736, 5920, 9472, 11840, 23680, 47360.
What is 47360 in binary?
1011100100000000 (hexadecimal B900, octal 134400).
What is the square root of 47360?
About 217.6235, exactly 16√185.
Is 47360 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47360?
47360 is a Harshad number: divisible by its digit sum 20.