The number 47994
47994 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 421. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 421, 842, 1263, 2526, 7999, 15998, 23997, 47994.
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How to work it out
- 1
47994 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47994 is composite. Its prime factorisation is
- 3
The divisors add up to 101280; without 47994 itself that is 53286, so 47994 is abundant (53286 is more than 47994). Euler's totient φ(47994) = 15120 numbers up to 47994 share no factor with it.
- 4
The digits of 47994 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47994 = 2 \times 3 \times 19 \times 421 \]
47994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 101280 |
| Euler totient φ(n) | 15120 |
| Square | 2303424036 |
| Cube | 110550533183784 |
| Square root | 219.075330 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.7994 × |
47994 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and ninety-four |
| Binary (base 2) | 1011101101111010 |
| Octal (base 8) | 135572 |
| Hexadecimal (base 16) | BB7A |
| Base 3 | 2102211120 |
| As time | 47994 seconds = 13 h 19 min 54 s |
Is 47994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47994 ÷ 2 = 23997) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47994 ÷ 3 = 15998) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47994 ÷ 6 = 7999) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47994 a prime number?
No. 47994 = 2 × 3 × 19 × 421, so it is divisible by 2.
What are the factors of 47994?
1, 2, 3, 6, 19, 38, 57, 114, 421, 842, 1263, 2526, 7999, 15998, 23997, 47994.
What is 47994 in binary?
1011101101111010 (hexadecimal BB7A, octal 135572).
What is the square root of 47994?
About 219.0753.
Is 47994 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 47994?
It is a composite number with 16 divisors.