The number 47006
47006 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 1237. Divisors (8): 1, 2, 19, 38, 1237, 2474, 23503, 47006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47006 is composite. Its prime factorisation is
- 3
The divisors add up to 74280; without 47006 itself that is 27274, so 47006 is deficient (27274 is less than 47006). Euler's totient φ(47006) = 22248 numbers up to 47006 share no factor with it.
- 4
The digits of 47006 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47006 = 2 \times 19 \times 1237 \]
47006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 74280 |
| Euler totient φ(n) | 22248 |
| Square | 2209564036 |
| Cube | 103862767076216 |
| Square root | 216.808671 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7006 × |
47006 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and six |
| Binary (base 2) | 1011011110011110 |
| Octal (base 8) | 133636 |
| Hexadecimal (base 16) | B79E |
| Base 3 | 2101110222 |
| As time | 47006 seconds = 13 h 3 min 26 s |
Is 47006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47006 ÷ 2 = 23503) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47006 a prime number?
No. 47006 = 2 × 19 × 1237, so it is divisible by 2.
What are the factors of 47006?
1, 2, 19, 38, 1237, 2474, 23503, 47006.
What is 47006 in binary?
1011011110011110 (hexadecimal B79E, octal 133636).
What is the square root of 47006?
About 216.8087.
Is 47006 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 47006?
It is a composite number with 8 divisors.