The number 47640
47640 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 397. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 47640.
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How to work it out
- 1
47640 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47640 is composite. Its prime factorisation is
- 3
The divisors add up to 143280; without 47640 itself that is 95640, so 47640 is abundant (95640 is more than 47640). Euler's totient φ(47640) = 12672 numbers up to 47640 share no factor with it.
- 4
The digits of 47640 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47640 = 2^{3} \times 3 \times 5 \times 397 \]47640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 143280 |
| Euler totient φ(n) | 12672 |
| Square | 2269569600 |
| Cube | 108122295744000 |
| Square root | 218.265893 (= 2√11910) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.764 × |
47640 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and forty |
| Binary (base 2) | 1011101000011000 |
| Octal (base 8) | 135030 |
| Hexadecimal (base 16) | BA18 |
| Base 3 | 2102100110 |
| As time | 47640 seconds = 13 h 14 min 0 s |
Is 47640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47640 ÷ 2 = 23820) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47640 ÷ 3 = 15880) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47640 ÷ 4 = 11910) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47640 ÷ 5 = 9528) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47640 ÷ 6 = 7940) | 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 (47640 ÷ 8 = 5955) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47640 ÷ 10 = 4764) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47640 ÷ 12 = 3970) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47640 a prime number?
No. 47640 = × 3 × 5 × 397, so it is divisible by 2.
What are the factors of 47640?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 397, 794, 1191, 1588, 1985, 2382, 3176, 3970, 4764, 5955, 7940, 9528, 11910, 15880, 23820, 47640.
What is 47640 in binary?
1011101000011000 (hexadecimal BA18, octal 135030).
What is the square root of 47640?
About 218.2659, exactly 2√11910.
Is 47640 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47640?
It is a composite number with 32 divisors.