The number 47727
47727 is a composite number with 6 divisors. Its prime factorisation is × 5303. Divisors (6): 1, 3, 9, 5303, 15909, 47727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47727: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47727 is composite. Its prime factorisation is
- 3
The divisors add up to 68952; without 47727 itself that is 21225, so 47727 is deficient (21225 is less than 47727). Euler's totient φ(47727) = 31812 numbers up to 47727 share no factor with it.
- 4
The digits of 47727 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 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47727 = 3^{2} \times 5303 \]47727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 68952 |
| Euler totient φ(n) | 31812 |
| Square | 2277866529 |
| Cube | 108715735829583 |
| Square root | 218.465100 (= 3√5303) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.7727 × |
47727 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and twenty-seven |
| Binary (base 2) | 1011101001101111 |
| Octal (base 8) | 135157 |
| Hexadecimal (base 16) | BA6F |
| Base 3 | 2102110200 |
| As time | 47727 seconds = 13 h 15 min 27 s |
Is 47727 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 (47727 ÷ 3 = 15909) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47727 ÷ 9 = 5303) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47727 a prime number?
No. 47727 = × 5303, so it is divisible by 3.
What are the factors of 47727?
1, 3, 9, 5303, 15909, 47727.
What is 47727 in binary?
1011101001101111 (hexadecimal BA6F, octal 135157).
What is the square root of 47727?
About 218.4651, exactly 3√5303.
Is 47727 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47727?
47727 is a happy number: repeatedly adding the squares of its digits reaches 1.