The number 47660
47660 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2383. Divisors (12): 1, 2, 4, 5, 10, 20, 2383, 4766, 9532, 11915, 23830, 47660.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47660 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47660 is composite. Its prime factorisation is
- 3
The divisors add up to 100128; without 47660 itself that is 52468, so 47660 is abundant (52468 is more than 47660). Euler's totient φ(47660) = 19056 numbers up to 47660 share no factor with it.
- 4
The digits of 47660 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47660 = 2^{2} \times 5 \times 2383 \]47660 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100128 |
| Euler totient φ(n) | 19056 |
| Square | 2271475600 |
| Cube | 108258527096000 |
| Square root | 218.311704 (= 2√11915) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.766 × |
47660 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and sixty |
| Binary (base 2) | 1011101000101100 |
| Octal (base 8) | 135054 |
| Hexadecimal (base 16) | BA2C |
| Base 3 | 2102101012 |
| As time | 47660 seconds = 13 h 14 min 20 s |
Is 47660 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47660 ÷ 2 = 23830) | 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 (47660 ÷ 4 = 11915) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47660 ÷ 5 = 9532) | 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 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47660 ÷ 10 = 4766) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 47660 a prime number?
No. 47660 = × 5 × 2383, so it is divisible by 2.
What are the factors of 47660?
1, 2, 4, 5, 10, 20, 2383, 4766, 9532, 11915, 23830, 47660.
What is 47660 in binary?
1011101000101100 (hexadecimal BA2C, octal 135054).
What is the square root of 47660?
About 218.3117, exactly 2√11915.
Is 47660 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47660?
It is a composite number with 12 divisors.