The number 47997
47997 is a composite number with 6 divisors. Its prime factorisation is × 5333. Divisors (6): 1, 3, 9, 5333, 15999, 47997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47997 is composite. Its prime factorisation is
- 3
The divisors add up to 69342; without 47997 itself that is 21345, so 47997 is deficient (21345 is less than 47997). Euler's totient φ(47997) = 31992 numbers up to 47997 share no factor with it.
- 4
The digits of 47997 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47997 = 3^{2} \times 5333 \]47997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 69342 |
| Euler totient φ(n) | 31992 |
| Square | 2303712009 |
| Cube | 110571265295973 |
| Square root | 219.082176 (= 3√5333) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.7997 × |
47997 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and ninety-seven |
| Binary (base 2) | 1011101101111101 |
| Octal (base 8) | 135575 |
| Hexadecimal (base 16) | BB7D |
| Base 3 | 2102211200 |
| As time | 47997 seconds = 13 h 19 min 57 s |
Is 47997 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47997 ÷ 3 = 15999) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47997 ÷ 9 = 5333) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47997 a prime number?
No. 47997 = × 5333, so it is divisible by 3.
What are the factors of 47997?
1, 3, 9, 5333, 15999, 47997.
What is 47997 in binary?
1011101101111101 (hexadecimal BB7D, octal 135575).
What is the square root of 47997?
About 219.0822, exactly 3√5333.
Is 47997 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 47997?
It is a composite number with 6 divisors.