The number 43428
43428 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 11 × 47. Divisors (48): 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 47 … 43428.
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How to work it out
- 1
What is special about 43428: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
43428 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 43428 itself that is 85596, so 43428 is abundant (85596 is more than 43428). Euler's totient φ(43428) = 11040 numbers up to 43428 share no factor with it.
- 4
The digits of 43428 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43428 = 2^{2} \times 3 \times 7 \times 11 \times 47 \]43428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 11040 |
| Square | 1885991184 |
| Cube | 81904825138752 |
| Square root | 208.393858 (= 2√10857) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3428 × |
43428 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and twenty-eight |
| Binary (base 2) | 1010100110100100 |
| Octal (base 8) | 124644 |
| Hexadecimal (base 16) | A9A4 |
| Base 3 | 2012120110 |
| As time | 43428 seconds = 12 h 3 min 48 s |
Is 43428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43428 ÷ 2 = 21714) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43428 ÷ 3 = 14476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43428 ÷ 4 = 10857) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43428 ÷ 6 = 7238) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43428 ÷ 7 = 6204) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43428 ÷ 11 = 3948) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43428 ÷ 12 = 3619) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43428 a prime number?
No. 43428 = × 3 × 7 × 11 × 47, so it is divisible by 2.
What are the factors of 43428?
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 47, 66, 77, 84, 94, 132, 141, 154, 188, 231, 282, 308, 329, 462, 517, 564, 658, 924, 987, 1034, 1316, 1551, 1974, 2068, 3102, 3619, 3948, 6204, 7238, 10857, 14476, 21714, 43428.
What is 43428 in binary?
1010100110100100 (hexadecimal A9A4, octal 124644).
What is the square root of 43428?
About 208.3939, exactly 2√10857.
Is 43428 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 43428?
43428 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.