The number 47940
47940 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 17 × 47. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 47, 51, 60 … 47940.
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How to work it out
- 1
47940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47940 is composite. Its prime factorisation is
- 3
The divisors add up to 145152; without 47940 itself that is 97212, so 47940 is abundant (97212 is more than 47940). Euler's totient φ(47940) = 11776 numbers up to 47940 share no factor with it.
- 4
The digits of 47940 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47940 = 2^{2} \times 3 \times 5 \times 17 \times 47 \]47940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 145152 |
| Euler totient φ(n) | 11776 |
| Square | 2298243600 |
| Cube | 110177798184000 |
| Square root | 218.952050 (= 2√11985) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.794 × |
47940 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and forty |
| Binary (base 2) | 1011101101000100 |
| Octal (base 8) | 135504 |
| Hexadecimal (base 16) | BB44 |
| Base 3 | 2102202120 |
| As time | 47940 seconds = 13 h 19 min 0 s |
Is 47940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47940 ÷ 2 = 23970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47940 ÷ 3 = 15980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47940 ÷ 4 = 11985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47940 ÷ 5 = 9588) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47940 ÷ 6 = 7990) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47940 ÷ 10 = 4794) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47940 ÷ 12 = 3995) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47940 a prime number?
No. 47940 = × 3 × 5 × 17 × 47, so it is divisible by 2.
What are the factors of 47940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 47, 51, 60, 68, 85, 94, 102, 141, 170, 188, 204, 235, 255, 282, 340, 470, 510, 564, 705, 799, 940, 1020, 1410, 1598, 2397, 2820, 3196, 3995, 4794, 7990, 9588, 11985, 15980, 23970, 47940.
What is 47940 in binary?
1011101101000100 (hexadecimal BB44, octal 135504).
What is the square root of 47940?
About 218.9520, exactly 2√11985.
Is 47940 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47940?
It is a composite number with 48 divisors.