The number 47005
47005 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 17 × 79. Divisors (16): 1, 5, 7, 17, 35, 79, 85, 119, 395, 553, 595, 1343, 2765, 6715, 9401, 47005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47005 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 47005 itself that is 22115, so 47005 is deficient (22115 is less than 47005). Euler's totient φ(47005) = 29952 numbers up to 47005 share no factor with it.
- 4
The digits of 47005 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47005 = 5 \times 7 \times 17 \times 79 \]
47005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 29952 |
| Square | 2209470025 |
| Cube | 103856138525125 |
| Square root | 216.806365 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7005 × |
47005 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and five |
| Binary (base 2) | 1011011110011101 |
| Octal (base 8) | 133635 |
| Hexadecimal (base 16) | B79D |
| Base 3 | 2101110221 |
| As time | 47005 seconds = 13 h 3 min 25 s |
Is 47005 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 | No (remainder 1) | 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 | Yes (47005 ÷ 5 = 9401) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47005 ÷ 7 = 6715) | 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47005 a prime number?
No. 47005 = 5 × 7 × 17 × 79, so it is divisible by 5.
What are the factors of 47005?
1, 5, 7, 17, 35, 79, 85, 119, 395, 553, 595, 1343, 2765, 6715, 9401, 47005.
What is 47005 in binary?
1011011110011101 (hexadecimal B79D, octal 133635).
What is the square root of 47005?
About 216.8064.
Is 47005 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47005?
It is a composite number with 16 divisors.