The number 43320
43320 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × . Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40 … 43320.
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How to work it out
- 1
What is special about 43320: a Harshad number: divisible by its digit sum 12.
- 2
43320 is composite. Its prime factorisation is
- 3
The divisors add up to 137160; without 43320 itself that is 93840, so 43320 is abundant (93840 is more than 43320). Euler's totient φ(43320) = 10944 numbers up to 43320 share no factor with it.
- 4
The digits of 43320 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43320 = 2^{3} \times 3 \times 5 \times 19^{2} \]43320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 137160 |
| Euler totient φ(n) | 10944 |
| Square | 1876622400 |
| Cube | 81295282368000 |
| Square root | 208.134572 (= 38√30) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.332 × |
43320 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and twenty |
| Binary (base 2) | 1010100100111000 |
| Octal (base 8) | 124470 |
| Hexadecimal (base 16) | A938 |
| Base 3 | 2012102110 |
| As time | 43320 seconds = 12 h 2 min 0 s |
Is 43320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43320 ÷ 2 = 21660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43320 ÷ 3 = 14440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43320 ÷ 4 = 10830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43320 ÷ 5 = 8664) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43320 ÷ 6 = 7220) | 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 | Yes (43320 ÷ 8 = 5415) | 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 | Yes (43320 ÷ 10 = 4332) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43320 ÷ 12 = 3610) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43320 a prime number?
No. 43320 = × 3 × 5 × , so it is divisible by 2.
What are the factors of 43320?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 361, 380, 456, 570, 722, 760, 1083, 1140, 1444, 1805, 2166, 2280, 2888, 3610, 4332, 5415, 7220, 8664, 10830, 14440, 21660, 43320.
What is 43320 in binary?
1010100100111000 (hexadecimal A938, octal 124470).
What is the square root of 43320?
About 208.1346, exactly 38√30.
Is 43320 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 43320?
43320 is a Harshad number: divisible by its digit sum 12.