The number 43362
43362 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 73. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 73, 99, 146, 198 … 43362.
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How to work it out
- 1
What is special about 43362: a Harshad number: divisible by its digit sum 18.
- 2
43362 is composite. Its prime factorisation is
- 3
The divisors add up to 106560; without 43362 itself that is 63198, so 43362 is abundant (63198 is more than 43362). Euler's totient φ(43362) = 12960 numbers up to 43362 share no factor with it.
- 4
The digits of 43362 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43362 = 2 \times 3^{3} \times 11 \times 73 \]43362 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 106560 |
| Euler totient φ(n) | 12960 |
| Square | 1880263044 |
| Cube | 81531966113928 |
| Square root | 208.235444 (= 3√4818) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.3362 × |
43362 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and sixty-two |
| Binary (base 2) | 1010100101100010 |
| Octal (base 8) | 124542 |
| Hexadecimal (base 16) | A962 |
| Base 3 | 2012111000 |
| As time | 43362 seconds = 12 h 2 min 42 s |
Is 43362 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43362 ÷ 2 = 21681) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43362 ÷ 3 = 14454) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43362 ÷ 6 = 7227) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43362 ÷ 9 = 4818) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43362 ÷ 11 = 3942) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43362 a prime number?
No. 43362 = 2 × × 11 × 73, so it is divisible by 2.
What are the factors of 43362?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 73, 99, 146, 198, 219, 297, 438, 594, 657, 803, 1314, 1606, 1971, 2409, 3942, 4818, 7227, 14454, 21681, 43362.
What is 43362 in binary?
1010100101100010 (hexadecimal A962, octal 124542).
What is the square root of 43362?
About 208.2354, exactly 3√4818.
Is 43362 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43362?
43362 is a Harshad number: divisible by its digit sum 18.