The number 43384
43384 is a composite number with 32 divisors. Its prime factorisation is × 11 × 17 × 29. Divisors (32): 1, 2, 4, 8, 11, 17, 22, 29, 34, 44, 58, 68, 88, 116, 136, 187 … 43384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43384: a Harshad number: divisible by its digit sum 22.
- 2
43384 is composite. Its prime factorisation is
- 3
The divisors add up to 97200; without 43384 itself that is 53816, so 43384 is abundant (53816 is more than 43384). Euler's totient φ(43384) = 17920 numbers up to 43384 share no factor with it.
- 4
The digits of 43384 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43384 = 2^{3} \times 11 \times 17 \times 29 \]43384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 97200 |
| Euler totient φ(n) | 17920 |
| Square | 1882171456 |
| Cube | 81656126447104 |
| Square root | 208.288262 (= 2√10846) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3384 × |
43384 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and eighty-four |
| Binary (base 2) | 1010100101111000 |
| Octal (base 8) | 124570 |
| Hexadecimal (base 16) | A978 |
| Base 3 | 2012111211 |
| As time | 43384 seconds = 12 h 3 min 4 s |
Is 43384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43384 ÷ 2 = 21692) | 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 (43384 ÷ 4 = 10846) | 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 5) | 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 (43384 ÷ 8 = 5423) | 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 (43384 ÷ 11 = 3944) | 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 43384 a prime number?
No. 43384 = × 11 × 17 × 29, so it is divisible by 2.
What are the factors of 43384?
1, 2, 4, 8, 11, 17, 22, 29, 34, 44, 58, 68, 88, 116, 136, 187, 232, 319, 374, 493, 638, 748, 986, 1276, 1496, 1972, 2552, 3944, 5423, 10846, 21692, 43384.
What is 43384 in binary?
1010100101111000 (hexadecimal A978, octal 124570).
What is the square root of 43384?
About 208.2883, exactly 2√10846.
Is 43384 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 43384?
43384 is a Harshad number: divisible by its digit sum 22.