The number 47073
47073 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 17 × 71. Divisors (16): 1, 3, 13, 17, 39, 51, 71, 213, 221, 663, 923, 1207, 2769, 3621, 15691, 47073.
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How to work it out
- 1
47073 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47073 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 47073 itself that is 25503, so 47073 is deficient (25503 is less than 47073). Euler's totient φ(47073) = 26880 numbers up to 47073 share no factor with it.
- 4
The digits of 47073 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47073 = 3 \times 13 \times 17 \times 71 \]
47073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 26880 |
| Square | 2215867329 |
| Cube | 104307522778017 |
| Square root | 216.963131 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.7073 × |
47073 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and seventy-three |
| Binary (base 2) | 1011011111100001 |
| Octal (base 8) | 133741 |
| Hexadecimal (base 16) | B7E1 |
| Base 3 | 2101120110 |
| As time | 47073 seconds = 13 h 4 min 33 s |
Is 47073 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 (47073 ÷ 3 = 15691) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 47073 a prime number?
No. 47073 = 3 × 13 × 17 × 71, so it is divisible by 3.
What are the factors of 47073?
1, 3, 13, 17, 39, 51, 71, 213, 221, 663, 923, 1207, 2769, 3621, 15691, 47073.
What is 47073 in binary?
1011011111100001 (hexadecimal B7E1, octal 133741).
What is the square root of 47073?
About 216.9631.
Is 47073 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47073?
It is a composite number with 16 divisors.