The number 47277
47277 is a composite number with 16 divisors. Its prime factorisation is × 17 × 103. Divisors (16): 1, 3, 9, 17, 27, 51, 103, 153, 309, 459, 927, 1751, 2781, 5253, 15759, 47277.
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How to work it out
- 1
What is special about 47277: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
47277 is composite. Its prime factorisation is
- 3
The divisors add up to 74880; without 47277 itself that is 27603, so 47277 is deficient (27603 is less than 47277). Euler's totient φ(47277) = 29376 numbers up to 47277 share no factor with it.
- 4
The digits of 47277 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47277 = 3^{3} \times 17 \times 103 \]47277 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74880 |
| Euler totient φ(n) | 29376 |
| Square | 2235114729 |
| Cube | 105669519042933 |
| Square root | 217.432748 (= 3√5253) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7277 × |
47277 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and seventy-seven |
| Binary (base 2) | 1011100010101101 |
| Octal (base 8) | 134255 |
| Hexadecimal (base 16) | B8AD |
| Base 3 | 2101212000 |
| As time | 47277 seconds = 13 h 7 min 57 s |
Is 47277 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 (47277 ÷ 3 = 15759) | 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 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 6) | 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 | Yes (47277 ÷ 9 = 5253) | 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 10) | 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 47277 a prime number?
No. 47277 = × 17 × 103, so it is divisible by 3.
What are the factors of 47277?
1, 3, 9, 17, 27, 51, 103, 153, 309, 459, 927, 1751, 2781, 5253, 15759, 47277.
What is 47277 in binary?
1011100010101101 (hexadecimal B8AD, octal 134255).
What is the square root of 47277?
About 217.4327, exactly 3√5253.
Is 47277 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47277?
47277 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.