The number 43993
43993 is a composite number with 8 divisors. Its prime factorisation is 29 × 37 × 41. Divisors (8): 1, 29, 37, 41, 1073, 1189, 1517, 43993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43993 is composite. Its prime factorisation is
- 3
The divisors add up to 47880; without 43993 itself that is 3887, so 43993 is deficient (3887 is less than 43993). Euler's totient φ(43993) = 40320 numbers up to 43993 share no factor with it.
- 4
The digits of 43993 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43993 = 29 \times 37 \times 41 \]
43993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47880 |
| Euler totient φ(n) | 40320 |
| Square | 1935384049 |
| Cube | 85143350467657 |
| Square root | 209.745083 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.3993 × |
43993 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and ninety-three |
| Binary (base 2) | 1010101111011001 |
| Octal (base 8) | 125731 |
| Hexadecimal (base 16) | ABD9 |
| Base 3 | 2020100101 |
| As time | 43993 seconds = 12 h 13 min 13 s |
Is 43993 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43993 a prime number?
No. 43993 = 29 × 37 × 41, so it is divisible by 29.
What are the factors of 43993?
1, 29, 37, 41, 1073, 1189, 1517, 43993.
What is 43993 in binary?
1010101111011001 (hexadecimal ABD9, octal 125731).
What is the square root of 43993?
About 209.7451.
Is 43993 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 43993?
It is a composite number with 8 divisors.