The number 47924
47924 is a composite number with 6 divisors. Its prime factorisation is × 11981. Divisors (6): 1, 2, 4, 11981, 23962, 47924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47924 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47924 is composite. Its prime factorisation is
- 3
The divisors add up to 83874; without 47924 itself that is 35950, so 47924 is deficient (35950 is less than 47924). Euler's totient φ(47924) = 23960 numbers up to 47924 share no factor with it.
- 4
The digits of 47924 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47924 = 2^{2} \times 11981 \]47924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 83874 |
| Euler totient φ(n) | 23960 |
| Square | 2296709776 |
| Cube | 110067519305024 |
| Square root | 218.915509 (= 2√11981) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7924 × |
47924 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and twenty-four |
| Binary (base 2) | 1011101100110100 |
| Octal (base 8) | 135464 |
| Hexadecimal (base 16) | BB34 |
| Base 3 | 2102201222 |
| As time | 47924 seconds = 13 h 18 min 44 s |
Is 47924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47924 ÷ 2 = 23962) | 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 (47924 ÷ 4 = 11981) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 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 47924 a prime number?
No. 47924 = × 11981, so it is divisible by 2.
What are the factors of 47924?
1, 2, 4, 11981, 23962, 47924.
What is 47924 in binary?
1011101100110100 (hexadecimal BB34, octal 135464).
What is the square root of 47924?
About 218.9155, exactly 2√11981.
Is 47924 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47924?
It is a composite number with 6 divisors.