The number 47960
47960 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 109. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 109, 110, 218 … 47960.
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How to work it out
- 1
47960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47960 is composite. Its prime factorisation is
- 3
The divisors add up to 118800; without 47960 itself that is 70840, so 47960 is abundant (70840 is more than 47960). Euler's totient φ(47960) = 17280 numbers up to 47960 share no factor with it.
- 4
The digits of 47960 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47960 = 2^{3} \times 5 \times 11 \times 109 \]47960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 118800 |
| Euler totient φ(n) | 17280 |
| Square | 2300161600 |
| Cube | 110315750336000 |
| Square root | 218.997717 (= 2√11990) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.796 × |
47960 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and sixty |
| Binary (base 2) | 1011101101011000 |
| Octal (base 8) | 135530 |
| Hexadecimal (base 16) | BB58 |
| Base 3 | 2102210022 |
| As time | 47960 seconds = 13 h 19 min 20 s |
Is 47960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47960 ÷ 2 = 23980) | 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 (47960 ÷ 4 = 11990) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47960 ÷ 5 = 9592) | 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 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 | Yes (47960 ÷ 8 = 5995) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47960 ÷ 10 = 4796) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47960 ÷ 11 = 4360) | 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 47960 a prime number?
No. 47960 = × 5 × 11 × 109, so it is divisible by 2.
What are the factors of 47960?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 109, 110, 218, 220, 436, 440, 545, 872, 1090, 1199, 2180, 2398, 4360, 4796, 5995, 9592, 11990, 23980, 47960.
What is 47960 in binary?
1011101101011000 (hexadecimal BB58, octal 135530).
What is the square root of 47960?
About 218.9977, exactly 2√11990.
Is 47960 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47960?
It is a composite number with 32 divisors.