The number 47920
47920 is a composite number with 20 divisors. Its prime factorisation is × 5 × 599. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 599, 1198, 2396, 2995, 4792, 5990 … 47920.
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How to work it out
- 1
47920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47920 is composite. Its prime factorisation is
- 3
The divisors add up to 111600; without 47920 itself that is 63680, so 47920 is abundant (63680 is more than 47920). Euler's totient φ(47920) = 19136 numbers up to 47920 share no factor with it.
- 4
The digits of 47920 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47920 = 2^{4} \times 5 \times 599 \]47920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 111600 |
| Euler totient φ(n) | 19136 |
| Square | 2296326400 |
| Cube | 110039961088000 |
| Square root | 218.906373 (= 4√2995) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.792 × |
47920 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and twenty |
| Binary (base 2) | 1011101100110000 |
| Octal (base 8) | 135460 |
| Hexadecimal (base 16) | BB30 |
| Base 3 | 2102201211 |
| As time | 47920 seconds = 13 h 18 min 40 s |
Is 47920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47920 ÷ 2 = 23960) | 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 (47920 ÷ 4 = 11980) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47920 ÷ 5 = 9584) | 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 | 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 (47920 ÷ 8 = 5990) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47920 ÷ 10 = 4792) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 47920 a prime number?
No. 47920 = × 5 × 599, so it is divisible by 2.
What are the factors of 47920?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 599, 1198, 2396, 2995, 4792, 5990, 9584, 11980, 23960, 47920.
What is 47920 in binary?
1011101100110000 (hexadecimal BB30, octal 135460).
What is the square root of 47920?
About 218.9064, exactly 4√2995.
Is 47920 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47920?
It is a composite number with 20 divisors.