The number 47668
47668 is a composite number with 12 divisors. Its prime factorisation is × 17 × 701. Divisors (12): 1, 2, 4, 17, 34, 68, 701, 1402, 2804, 11917, 23834, 47668.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47668 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47668 is composite. Its prime factorisation is
- 3
The divisors add up to 88452; without 47668 itself that is 40784, so 47668 is deficient (40784 is less than 47668). Euler's totient φ(47668) = 22400 numbers up to 47668 share no factor with it.
- 4
The digits of 47668 add up to 31, 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
\[ 47668 = 2^{2} \times 17 \times 701 \]47668 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88452 |
| Euler totient φ(n) | 22400 |
| Square | 2272238224 |
| Cube | 108313051661632 |
| Square root | 218.330025 (= 2√11917) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7668 × |
47668 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and sixty-eight |
| Binary (base 2) | 1011101000110100 |
| Octal (base 8) | 135064 |
| Hexadecimal (base 16) | BA34 |
| Base 3 | 2102101111 |
| As time | 47668 seconds = 13 h 14 min 28 s |
Is 47668 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47668 ÷ 2 = 23834) | 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 (47668 ÷ 4 = 11917) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 47668 a prime number?
No. 47668 = × 17 × 701, so it is divisible by 2.
What are the factors of 47668?
1, 2, 4, 17, 34, 68, 701, 1402, 2804, 11917, 23834, 47668.
What is 47668 in binary?
1011101000110100 (hexadecimal BA34, octal 135064).
What is the square root of 47668?
About 218.3300, exactly 2√11917.
Is 47668 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 47668?
It is a composite number with 12 divisors.