The number 47745
47745 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1061. Divisors (12): 1, 3, 5, 9, 15, 45, 1061, 3183, 5305, 9549, 15915, 47745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47745 is composite. Its prime factorisation is
- 3
The divisors add up to 82836; without 47745 itself that is 35091, so 47745 is deficient (35091 is less than 47745). Euler's totient φ(47745) = 25440 numbers up to 47745 share no factor with it.
- 4
The digits of 47745 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47745 = 3^{2} \times 5 \times 1061 \]47745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82836 |
| Euler totient φ(n) | 25440 |
| Square | 2279585025 |
| Cube | 108838787018625 |
| Square root | 218.506293 (= 3√5305) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7745 × |
47745 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and forty-five |
| Binary (base 2) | 1011101010000001 |
| Octal (base 8) | 135201 |
| Hexadecimal (base 16) | BA81 |
| Base 3 | 2102111100 |
| As time | 47745 seconds = 13 h 15 min 45 s |
Is 47745 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 (47745 ÷ 3 = 15915) | 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 (47745 ÷ 5 = 9549) | 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 | Yes (47745 ÷ 9 = 5305) | 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 5) | 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 47745 a prime number?
No. 47745 = × 5 × 1061, so it is divisible by 3.
What are the factors of 47745?
1, 3, 5, 9, 15, 45, 1061, 3183, 5305, 9549, 15915, 47745.
What is 47745 in binary?
1011101010000001 (hexadecimal BA81, octal 135201).
What is the square root of 47745?
About 218.5063, exactly 3√5305.
Is 47745 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47745?
It is a composite number with 12 divisors.