The number 47792
47792 is a composite number with 20 divisors. Its prime factorisation is × 29 × 103. Divisors (20): 1, 2, 4, 8, 16, 29, 58, 103, 116, 206, 232, 412, 464, 824, 1648, 2987 … 47792.
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How to work it out
- 1
What is special about 47792: a Harshad number: divisible by its digit sum 29.
- 2
47792 is composite. Its prime factorisation is
- 3
The divisors add up to 96720; without 47792 itself that is 48928, so 47792 is abundant (48928 is more than 47792). Euler's totient φ(47792) = 22848 numbers up to 47792 share no factor with it.
- 4
The digits of 47792 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47792 = 2^{4} \times 29 \times 103 \]47792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 96720 |
| Euler totient φ(n) | 22848 |
| Square | 2284075264 |
| Cube | 109160525017088 |
| Square root | 218.613815 (= 4√2987) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7792 × |
47792 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and ninety-two |
| Binary (base 2) | 1011101010110000 |
| Octal (base 8) | 135260 |
| Hexadecimal (base 16) | BAB0 |
| Base 3 | 2102120002 |
| As time | 47792 seconds = 13 h 16 min 32 s |
Is 47792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47792 ÷ 2 = 23896) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47792 ÷ 4 = 11948) | 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 2) | 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 | Yes (47792 ÷ 8 = 5974) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47792 a prime number?
No. 47792 = × 29 × 103, so it is divisible by 2.
What are the factors of 47792?
1, 2, 4, 8, 16, 29, 58, 103, 116, 206, 232, 412, 464, 824, 1648, 2987, 5974, 11948, 23896, 47792.
What is 47792 in binary?
1011101010110000 (hexadecimal BAB0, octal 135260).
What is the square root of 47792?
About 218.6138, exactly 4√2987.
Is 47792 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47792?
47792 is a Harshad number: divisible by its digit sum 29.