The number 47320
47320 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × . Divisors (48): 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56 … 47320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47320 is composite. Its prime factorisation is
- 3
The divisors add up to 131760; without 47320 itself that is 84440, so 47320 is abundant (84440 is more than 47320). Euler's totient φ(47320) = 14976 numbers up to 47320 share no factor with it.
- 4
The digits of 47320 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47320 = 2^{3} \times 5 \times 7 \times 13^{2} \]47320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 131760 |
| Euler totient φ(n) | 14976 |
| Square | 2239182400 |
| Cube | 105958111168000 |
| Square root | 217.531607 (= 26√70) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.732 × |
47320 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and twenty |
| Binary (base 2) | 1011100011011000 |
| Octal (base 8) | 134330 |
| Hexadecimal (base 16) | B8D8 |
| Base 3 | 2101220121 |
| As time | 47320 seconds = 13 h 8 min 40 s |
Is 47320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47320 ÷ 2 = 23660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47320 ÷ 4 = 11830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47320 ÷ 5 = 9464) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47320 ÷ 7 = 6760) | 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 (47320 ÷ 8 = 5915) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47320 ÷ 10 = 4732) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47320 a prime number?
No. 47320 = × 5 × 7 × , so it is divisible by 2.
What are the factors of 47320?
1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 169, 182, 260, 280, 338, 364, 455, 520, 676, 728, 845, 910, 1183, 1352, 1690, 1820, 2366, 3380, 3640, 4732, 5915, 6760, 9464, 11830, 23660, 47320.
What is 47320 in binary?
1011100011011000 (hexadecimal B8D8, octal 134330).
What is the square root of 47320?
About 217.5316, exactly 26√70.
Is 47320 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47320?
It is a composite number with 48 divisors.