The number 47313
47313 is a composite number with 12 divisors. Its prime factorisation is × 7 × 751. Divisors (12): 1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759, 15771, 47313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47313 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47313 is composite. Its prime factorisation is
- 3
The divisors add up to 78208; without 47313 itself that is 30895, so 47313 is deficient (30895 is less than 47313). Euler's totient φ(47313) = 27000 numbers up to 47313 share no factor with it.
- 4
The digits of 47313 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
\[ 47313 = 3^{2} \times 7 \times 751 \]47313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78208 |
| Euler totient φ(n) | 27000 |
| Square | 2238519969 |
| Cube | 105911095293297 |
| Square root | 217.515517 (= 3√5257) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7313 × |
47313 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and thirteen |
| Binary (base 2) | 1011100011010001 |
| Octal (base 8) | 134321 |
| Hexadecimal (base 16) | B8D1 |
| Base 3 | 2101220100 |
| As time | 47313 seconds = 13 h 8 min 33 s |
Is 47313 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 (47313 ÷ 3 = 15771) | 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 | Yes (47313 ÷ 7 = 6759) | 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 | Yes (47313 ÷ 9 = 5257) | 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 2) | 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 47313 a prime number?
No. 47313 = × 7 × 751, so it is divisible by 3.
What are the factors of 47313?
1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759, 15771, 47313.
What is 47313 in binary?
1011100011010001 (hexadecimal B8D1, octal 134321).
What is the square root of 47313?
About 217.5155, exactly 3√5257.
Is 47313 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47313?
It is a composite number with 12 divisors.