The number 43890
43890 is a composite number with 64 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 11 × 19. Divisors (64): 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 19, 21, 22, 30, 33, 35 … 43890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43890 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43890 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 43890 itself that is 94350, so 43890 is abundant (94350 is more than 43890). Euler's totient φ(43890) = 8640 numbers up to 43890 share no factor with it.
- 4
The digits of 43890 add up to 24, 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
\[ 43890 = 2 \times 3 \times 5 \times 7 \times 11 \times 19 \]
43890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 8640 |
| Square | 1926332100 |
| Cube | 84546715869000 |
| Square root | 209.499403 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.389 × |
43890 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and ninety |
| Binary (base 2) | 1010101101110010 |
| Octal (base 8) | 125562 |
| Hexadecimal (base 16) | AB72 |
| Base 3 | 2020012120 |
| As time | 43890 seconds = 12 h 11 min 30 s |
Is 43890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43890 ÷ 2 = 21945) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43890 ÷ 3 = 14630) | 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 | Yes (43890 ÷ 5 = 8778) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43890 ÷ 6 = 7315) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43890 ÷ 7 = 6270) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43890 ÷ 10 = 4389) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43890 ÷ 11 = 3990) | 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 43890 a prime number?
No. 43890 = 2 × 3 × 5 × 7 × 11 × 19, so it is divisible by 2.
What are the factors of 43890?
1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 19, 21, 22, 30, 33, 35, 38, 42, 55, 57, 66, 70, 77, 95, 105, 110, 114, 133, 154, 165, 190, 209, 210, 231, 266, 285, 330, 385, 399, 418, 462, 570, 627, 665, 770, 798, 1045, 1155, 1254, 1330, 1463, 1995, 2090, 2310, 2926, 3135, 3990, 4389, 6270, 7315, 8778, 14630, 21945, 43890.
What is 43890 in binary?
1010101101110010 (hexadecimal AB72, octal 125562).
What is the square root of 43890?
About 209.4994.
Is 43890 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 43890?
It is a composite number with 64 divisors.