The number 43380
43380 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 241. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 43380.
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How to work it out
- 1
What is special about 43380: a Harshad number: divisible by its digit sum 18.
- 2
43380 is composite. Its prime factorisation is
- 3
The divisors add up to 132132; without 43380 itself that is 88752, so 43380 is abundant (88752 is more than 43380). Euler's totient φ(43380) = 11520 numbers up to 43380 share no factor with it.
- 4
The digits of 43380 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43380 = 2^{2} \times 3^{2} \times 5 \times 241 \]43380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 132132 |
| Euler totient φ(n) | 11520 |
| Square | 1881824400 |
| Cube | 81633542472000 |
| Square root | 208.278659 (= 6√1205) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.338 × |
43380 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and eighty |
| Binary (base 2) | 1010100101110100 |
| Octal (base 8) | 124564 |
| Hexadecimal (base 16) | A974 |
| Base 3 | 2012111200 |
| As time | 43380 seconds = 12 h 3 min 0 s |
Is 43380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43380 ÷ 2 = 21690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43380 ÷ 3 = 14460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43380 ÷ 4 = 10845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43380 ÷ 5 = 8676) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43380 ÷ 6 = 7230) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (43380 ÷ 9 = 4820) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43380 ÷ 10 = 4338) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43380 ÷ 12 = 3615) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43380 a prime number?
No. 43380 = × × 5 × 241, so it is divisible by 2.
What are the factors of 43380?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 241, 482, 723, 964, 1205, 1446, 2169, 2410, 2892, 3615, 4338, 4820, 7230, 8676, 10845, 14460, 21690, 43380.
What is 43380 in binary?
1010100101110100 (hexadecimal A974, octal 124564).
What is the square root of 43380?
About 208.2787, exactly 6√1205.
Is 43380 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43380?
43380 is a Harshad number: divisible by its digit sum 18.