The number 43800
43800 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 73. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 43800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43800: a Harshad number: divisible by its digit sum 15.
- 2
43800 is composite. Its prime factorisation is
- 3
The divisors add up to 137640; without 43800 itself that is 93840, so 43800 is abundant (93840 is more than 43800). Euler's totient φ(43800) = 11520 numbers up to 43800 share no factor with it.
- 4
The digits of 43800 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43800 = 2^{3} \times 3 \times 5^{2} \times 73 \]43800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 137640 |
| Euler totient φ(n) | 11520 |
| Square | 1918440000 |
| Cube | 84027672000000 |
| Square root | 209.284495 (= 10√438) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.38 × |
43800 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred |
| Binary (base 2) | 1010101100011000 |
| Octal (base 8) | 125430 |
| Hexadecimal (base 16) | AB18 |
| Base 3 | 2020002020 |
| As time | 43800 seconds = 12 h 10 min 0 s |
Is 43800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43800 ÷ 2 = 21900) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43800 ÷ 3 = 14600) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43800 ÷ 4 = 10950) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43800 ÷ 5 = 8760) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43800 ÷ 6 = 7300) | 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 | Yes (43800 ÷ 8 = 5475) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43800 ÷ 10 = 4380) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43800 ÷ 12 = 3650) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43800 a prime number?
No. 43800 = × 3 × × 73, so it is divisible by 2.
What are the factors of 43800?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 73, 75, 100, 120, 146, 150, 200, 219, 292, 300, 365, 438, 584, 600, 730, 876, 1095, 1460, 1752, 1825, 2190, 2920, 3650, 4380, 5475, 7300, 8760, 10950, 14600, 21900, 43800.
What is 43800 in binary?
1010101100011000 (hexadecimal AB18, octal 125430).
What is the square root of 43800?
About 209.2845, exactly 10√438.
Is 43800 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43800?
43800 is a Harshad number: divisible by its digit sum 15.