The number 47944
47944 is a composite number with 16 divisors. Its prime factorisation is × 13 × 461. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 461, 922, 1844, 3688, 5993, 11986, 23972, 47944.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47944 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47944 is composite. Its prime factorisation is
- 3
The divisors add up to 97020; without 47944 itself that is 49076, so 47944 is abundant (49076 is more than 47944). Euler's totient φ(47944) = 22080 numbers up to 47944 share no factor with it.
- 4
The digits of 47944 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47944 = 2^{3} \times 13 \times 461 \]47944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97020 |
| Euler totient φ(n) | 22080 |
| Square | 2298627136 |
| Cube | 110205379408384 |
| Square root | 218.961184 (= 2√11986) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7944 × |
47944 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and forty-four |
| Binary (base 2) | 1011101101001000 |
| Octal (base 8) | 135510 |
| Hexadecimal (base 16) | BB48 |
| Base 3 | 2102202201 |
| As time | 47944 seconds = 13 h 19 min 4 s |
Is 47944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47944 ÷ 2 = 23972) | 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 (47944 ÷ 4 = 11986) | 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 1) | 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 (47944 ÷ 8 = 5993) | 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 6) | 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 47944 a prime number?
No. 47944 = × 13 × 461, so it is divisible by 2.
What are the factors of 47944?
1, 2, 4, 8, 13, 26, 52, 104, 461, 922, 1844, 3688, 5993, 11986, 23972, 47944.
What is 47944 in binary?
1011101101001000 (hexadecimal BB48, octal 135510).
What is the square root of 47944?
About 218.9612, exactly 2√11986.
Is 47944 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47944?
It is a composite number with 16 divisors.