The number 34443
34443 is a palindrome: it reads 34443 backwards too. Its prime factorisation is × 43 × 89. Divisors (12): 1, 3, 9, 43, 89, 129, 267, 387, 801, 3827, 11481, 34443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34443: a palindrome: it reads 34443 backwards too.
- 2
34443 is composite. Its prime factorisation is
- 3
The divisors add up to 51480; without 34443 itself that is 17037, so 34443 is deficient (17037 is less than 34443). Euler's totient φ(34443) = 22176 numbers up to 34443 share no factor with it.
- 4
The digits of 34443 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34443 = 3^{2} \times 43 \times 89 \]34443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51480 |
| Euler totient φ(n) | 22176 |
| Square | 1186320249 |
| Cube | 40860428336307 |
| Square root | 185.588254 (= 3√3827) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4443 × |
34443 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and forty-three |
| Binary (base 2) | 1000011010001011 |
| Octal (base 8) | 103213 |
| Hexadecimal (base 16) | 868B |
| Base 3 | 1202020200 |
| As time | 34443 seconds = 9 h 34 min 3 s |
Is 34443 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 | Yes (34443 ÷ 3 = 11481) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (34443 ÷ 9 = 3827) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34443 a prime number?
No. 34443 = × 43 × 89, so it is divisible by 3.
What are the factors of 34443?
1, 3, 9, 43, 89, 129, 267, 387, 801, 3827, 11481, 34443.
What is 34443 in binary?
1000011010001011 (hexadecimal 868B, octal 103213).
What is the square root of 34443?
About 185.5883, exactly 3√3827.
Is 34443 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34443?
34443 is a palindrome: it reads 34443 backwards too.