The number 47344
47344 is a composite number with 20 divisors. Its prime factorisation is × 11 × 269. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 269, 538, 1076, 2152, 2959, 4304 … 47344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47344: a Harshad number: divisible by its digit sum 22.
- 2
47344 is composite. Its prime factorisation is
- 3
The divisors add up to 100440; without 47344 itself that is 53096, so 47344 is abundant (53096 is more than 47344). Euler's totient φ(47344) = 21440 numbers up to 47344 share no factor with it.
- 4
The digits of 47344 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47344 = 2^{4} \times 11 \times 269 \]47344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 100440 |
| Euler totient φ(n) | 21440 |
| Square | 2241454336 |
| Cube | 106119414083584 |
| Square root | 217.586764 (= 4√2959) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7344 × |
47344 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and forty-four |
| Binary (base 2) | 1011100011110000 |
| Octal (base 8) | 134360 |
| Hexadecimal (base 16) | B8F0 |
| Base 3 | 2101221111 |
| As time | 47344 seconds = 13 h 9 min 4 s |
Is 47344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47344 ÷ 2 = 23672) | 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 (47344 ÷ 4 = 11836) | 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 | Yes (47344 ÷ 8 = 5918) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (47344 ÷ 11 = 4304) | 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 47344 a prime number?
No. 47344 = × 11 × 269, so it is divisible by 2.
What are the factors of 47344?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 269, 538, 1076, 2152, 2959, 4304, 5918, 11836, 23672, 47344.
What is 47344 in binary?
1011100011110000 (hexadecimal B8F0, octal 134360).
What is the square root of 47344?
About 217.5868, exactly 4√2959.
Is 47344 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47344?
47344 is a Harshad number: divisible by its digit sum 22.