The number 47763
47763 is a composite number with 16 divisors. Its prime factorisation is × 29 × 61. Divisors (16): 1, 3, 9, 27, 29, 61, 87, 183, 261, 549, 783, 1647, 1769, 5307, 15921, 47763.
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How to work it out
- 1
What is special about 47763: a Harshad number: divisible by its digit sum 27.
- 2
47763 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 47763 itself that is 26637, so 47763 is deficient (26637 is less than 47763). Euler's totient φ(47763) = 30240 numbers up to 47763 share no factor with it.
- 4
The digits of 47763 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
\[ 47763 = 3^{3} \times 29 \times 61 \]47763 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 30240 |
| Square | 2281304169 |
| Cube | 108961931023947 |
| Square root | 218.547478 (= 3√5307) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7763 × |
47763 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and sixty-three |
| Binary (base 2) | 1011101010010011 |
| Octal (base 8) | 135223 |
| Hexadecimal (base 16) | BA93 |
| Base 3 | 2102112000 |
| As time | 47763 seconds = 13 h 16 min 3 s |
Is 47763 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 (47763 ÷ 3 = 15921) | 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 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 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47763 ÷ 9 = 5307) | 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 1) | 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 47763 a prime number?
No. 47763 = × 29 × 61, so it is divisible by 3.
What are the factors of 47763?
1, 3, 9, 27, 29, 61, 87, 183, 261, 549, 783, 1647, 1769, 5307, 15921, 47763.
What is 47763 in binary?
1011101010010011 (hexadecimal BA93, octal 135223).
What is the square root of 47763?
About 218.5475, exactly 3√5307.
Is 47763 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47763?
47763 is a Harshad number: divisible by its digit sum 27.