The number 47000
47000 is a composite number with 32 divisors. Its prime factorisation is × × 47. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 125, 188, 200 … 47000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47000 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 47000 itself that is 65320, so 47000 is abundant (65320 is more than 47000). Euler's totient φ(47000) = 18400 numbers up to 47000 share no factor with it.
- 4
The digits of 47000 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47000 = 2^{3} \times 5^{3} \times 47 \]47000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 18400 |
| Square | 2209000000 |
| Cube | 103823000000000 |
| Square root | 216.794834 (= 10√470) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7 × |
47000 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand |
| Binary (base 2) | 1011011110011000 |
| Octal (base 8) | 133630 |
| Hexadecimal (base 16) | B798 |
| Base 3 | 2101110202 |
| As time | 47000 seconds = 13 h 3 min 20 s |
Is 47000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47000 ÷ 2 = 23500) | 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 (47000 ÷ 4 = 11750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47000 ÷ 5 = 9400) | 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 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 | Yes (47000 ÷ 8 = 5875) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47000 ÷ 10 = 4700) | 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 47000 a prime number?
No. 47000 = × × 47, so it is divisible by 2.
What are the factors of 47000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 125, 188, 200, 235, 250, 376, 470, 500, 940, 1000, 1175, 1880, 2350, 4700, 5875, 9400, 11750, 23500, 47000.
What is 47000 in binary?
1011011110011000 (hexadecimal B798, octal 133630).
What is the square root of 47000?
About 216.7948, exactly 10√470.
Is 47000 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 47000?
It is a composite number with 32 divisors.