The number 43980
43980 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 733. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 733, 1466, 2199, 2932 … 43980.
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How to work it out
- 1
43980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43980 is composite. Its prime factorisation is
- 3
The divisors add up to 123312; without 43980 itself that is 79332, so 43980 is abundant (79332 is more than 43980). Euler's totient φ(43980) = 11712 numbers up to 43980 share no factor with it.
- 4
The digits of 43980 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43980 = 2^{2} \times 3 \times 5 \times 733 \]43980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123312 |
| Euler totient φ(n) | 11712 |
| Square | 1934240400 |
| Cube | 85067892792000 |
| Square root | 209.714091 (= 2√10995) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.398 × |
43980 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and eighty |
| Binary (base 2) | 1010101111001100 |
| Octal (base 8) | 125714 |
| Hexadecimal (base 16) | ABCC |
| Base 3 | 2020022220 |
| As time | 43980 seconds = 12 h 13 min 0 s |
Is 43980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43980 ÷ 2 = 21990) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43980 ÷ 3 = 14660) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43980 ÷ 4 = 10995) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43980 ÷ 5 = 8796) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43980 ÷ 6 = 7330) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43980 ÷ 10 = 4398) | 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 (43980 ÷ 12 = 3665) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43980 a prime number?
No. 43980 = × 3 × 5 × 733, so it is divisible by 2.
What are the factors of 43980?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 733, 1466, 2199, 2932, 3665, 4398, 7330, 8796, 10995, 14660, 21990, 43980.
What is 43980 in binary?
1010101111001100 (hexadecimal ABCC, octal 125714).
What is the square root of 43980?
About 209.7141, exactly 2√10995.
Is 43980 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 43980?
It is a composite number with 24 divisors.