The number 43992
43992 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 47. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 47, 52 … 43992.
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How to work it out
- 1
43992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43992 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 43992 itself that is 87048, so 43992 is abundant (87048 is more than 43992). Euler's totient φ(43992) = 13248 numbers up to 43992 share no factor with it.
- 4
The digits of 43992 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43992 = 2^{3} \times 3^{2} \times 13 \times 47 \]43992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 13248 |
| Square | 1935296064 |
| Cube | 85137544447488 |
| Square root | 209.742700 (= 6√1222) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3992 × |
43992 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and ninety-two |
| Binary (base 2) | 1010101111011000 |
| Octal (base 8) | 125730 |
| Hexadecimal (base 16) | ABD8 |
| Base 3 | 2020100100 |
| As time | 43992 seconds = 12 h 13 min 12 s |
Is 43992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43992 ÷ 2 = 21996) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43992 ÷ 3 = 14664) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43992 ÷ 4 = 10998) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43992 ÷ 6 = 7332) | 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 (43992 ÷ 8 = 5499) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43992 ÷ 9 = 4888) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43992 ÷ 12 = 3666) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43992 a prime number?
No. 43992 = × × 13 × 47, so it is divisible by 2.
What are the factors of 43992?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 47, 52, 72, 78, 94, 104, 117, 141, 156, 188, 234, 282, 312, 376, 423, 468, 564, 611, 846, 936, 1128, 1222, 1692, 1833, 2444, 3384, 3666, 4888, 5499, 7332, 10998, 14664, 21996, 43992.
What is 43992 in binary?
1010101111011000 (hexadecimal ABD8, octal 125730).
What is the square root of 43992?
About 209.7427, exactly 6√1222.
Is 43992 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 43992?
It is a composite number with 48 divisors.