The number 47007
47007 is a composite number with 8 divisors. Its prime factorisation is × 1741. Divisors (8): 1, 3, 9, 27, 1741, 5223, 15669, 47007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47007 is composite. Its prime factorisation is
- 3
The divisors add up to 69680; without 47007 itself that is 22673, so 47007 is deficient (22673 is less than 47007). Euler's totient φ(47007) = 31320 numbers up to 47007 share no factor with it.
- 4
The digits of 47007 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47007 = 3^{3} \times 1741 \]47007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69680 |
| Euler totient φ(n) | 31320 |
| Square | 2209658049 |
| Cube | 103869395909343 |
| Square root | 216.810978 (= 3√5223) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7007 × |
47007 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and seven |
| Binary (base 2) | 1011011110011111 |
| Octal (base 8) | 133637 |
| Hexadecimal (base 16) | B79F |
| Base 3 | 2101111000 |
| As time | 47007 seconds = 13 h 3 min 27 s |
Is 47007 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 (47007 ÷ 3 = 15669) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47007 ÷ 9 = 5223) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47007 a prime number?
No. 47007 = × 1741, so it is divisible by 3.
What are the factors of 47007?
1, 3, 9, 27, 1741, 5223, 15669, 47007.
What is 47007 in binary?
1011011110011111 (hexadecimal B79F, octal 133637).
What is the square root of 47007?
About 216.8110, exactly 3√5223.
Is 47007 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47007?
It is a composite number with 8 divisors.