The number 43344
43344 is a composite number with 60 divisors. Its prime factorisation is × × 7 × 43. Divisors (60): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36 … 43344.
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How to work it out
- 1
What is special about 43344: a Harshad number: divisible by its digit sum 18.
- 2
43344 is composite. Its prime factorisation is
- 3
The divisors add up to 141856; without 43344 itself that is 98512, so 43344 is abundant (98512 is more than 43344). Euler's totient φ(43344) = 12096 numbers up to 43344 share no factor with it.
- 4
The digits of 43344 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43344 = 2^{4} \times 3^{2} \times 7 \times 43 \]43344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 141856 |
| Euler totient φ(n) | 12096 |
| Square | 1878702336 |
| Cube | 81430474051584 |
| Square root | 208.192219 (= 12√301) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.3344 × |
43344 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and forty-four |
| Binary (base 2) | 1010100101010000 |
| Octal (base 8) | 124520 |
| Hexadecimal (base 16) | A950 |
| Base 3 | 2012110100 |
| As time | 43344 seconds = 12 h 2 min 24 s |
Is 43344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43344 ÷ 2 = 21672) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43344 ÷ 3 = 14448) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43344 ÷ 4 = 10836) | 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 | Yes (43344 ÷ 6 = 7224) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43344 ÷ 7 = 6192) | 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 (43344 ÷ 8 = 5418) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43344 ÷ 9 = 4816) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43344 ÷ 12 = 3612) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43344 a prime number?
No. 43344 = × × 7 × 43, so it is divisible by 2.
What are the factors of 43344?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 43, 48, 56, 63, 72, 84, 86, 112, 126, 129, 144, 168, 172, 252, 258, 301, 336, 344, 387, 504, 516, 602, 688, 774, 903, 1008, 1032, 1204, 1548, 1806, 2064, 2408, 2709, 3096, 3612, 4816, 5418, 6192, 7224, 10836, 14448, 21672, 43344.
What is 43344 in binary?
1010100101010000 (hexadecimal A950, octal 124520).
What is the square root of 43344?
About 208.1922, exactly 12√301.
Is 43344 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43344?
43344 is a Harshad number: divisible by its digit sum 18.