The number 43355
43355 is a composite number with 16 divisors. Its prime factorisation is 5 × 13 × 23 × 29. Divisors (16): 1, 5, 13, 23, 29, 65, 115, 145, 299, 377, 667, 1495, 1885, 3335, 8671, 43355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43355 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 43355 itself that is 17125, so 43355 is deficient (17125 is less than 43355). Euler's totient φ(43355) = 29568 numbers up to 43355 share no factor with it.
- 4
The digits of 43355 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43355 = 5 \times 13 \times 23 \times 29 \]
43355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 29568 |
| Square | 1879656025 |
| Cube | 81492486963875 |
| Square root | 208.218635 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.3355 × |
43355 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and fifty-five |
| Binary (base 2) | 1010100101011011 |
| Octal (base 8) | 124533 |
| Hexadecimal (base 16) | A95B |
| Base 3 | 2012110202 |
| As time | 43355 seconds = 12 h 2 min 35 s |
Is 43355 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43355 ÷ 5 = 8671) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43355 a prime number?
No. 43355 = 5 × 13 × 23 × 29, so it is divisible by 5.
What are the factors of 43355?
1, 5, 13, 23, 29, 65, 115, 145, 299, 377, 667, 1495, 1885, 3335, 8671, 43355.
What is 43355 in binary?
1010100101011011 (hexadecimal A95B, octal 124533).
What is the square root of 43355?
About 208.2186.
Is 43355 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43355?
It is a composite number with 16 divisors.