The number 47764
47764 is a composite number with 6 divisors. Its prime factorisation is × 11941. Divisors (6): 1, 2, 4, 11941, 23882, 47764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47764 is composite. Its prime factorisation is
- 3
The divisors add up to 83594; without 47764 itself that is 35830, so 47764 is deficient (35830 is less than 47764). Euler's totient φ(47764) = 23880 numbers up to 47764 share no factor with it.
- 4
The digits of 47764 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47764 = 2^{2} \times 11941 \]47764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 83594 |
| Euler totient φ(n) | 23880 |
| Square | 2281399696 |
| Cube | 108968775079744 |
| Square root | 218.549765 (= 2√11941) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7764 × |
47764 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and sixty-four |
| Binary (base 2) | 1011101010010100 |
| Octal (base 8) | 135224 |
| Hexadecimal (base 16) | BA94 |
| Base 3 | 2102112001 |
| As time | 47764 seconds = 13 h 16 min 4 s |
Is 47764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47764 ÷ 2 = 23882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47764 ÷ 4 = 11941) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47764 a prime number?
No. 47764 = × 11941, so it is divisible by 2.
What are the factors of 47764?
1, 2, 4, 11941, 23882, 47764.
What is 47764 in binary?
1011101010010100 (hexadecimal BA94, octal 135224).
What is the square root of 47764?
About 218.5498, exactly 2√11941.
Is 47764 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47764?
It is a composite number with 6 divisors.