The number 43164
43164 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 109. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 109 … 43164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43164: a Harshad number: divisible by its digit sum 18.
- 2
43164 is composite. Its prime factorisation is
- 3
The divisors add up to 120120; without 43164 itself that is 76956, so 43164 is abundant (76956 is more than 43164). Euler's totient φ(43164) = 12960 numbers up to 43164 share no factor with it.
- 4
The digits of 43164 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43164 = 2^{2} \times 3^{2} \times 11 \times 109 \]43164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 120120 |
| Euler totient φ(n) | 12960 |
| Square | 1863130896 |
| Cube | 80420181994944 |
| Square root | 207.759476 (= 6√1199) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3164 × |
43164 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and sixty-four |
| Binary (base 2) | 1010100010011100 |
| Octal (base 8) | 124234 |
| Hexadecimal (base 16) | A89C |
| Base 3 | 2012012200 |
| As time | 43164 seconds = 11 h 59 min 24 s |
Is 43164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43164 ÷ 2 = 21582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43164 ÷ 3 = 14388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43164 ÷ 4 = 10791) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43164 ÷ 6 = 7194) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (43164 ÷ 9 = 4796) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43164 ÷ 11 = 3924) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43164 ÷ 12 = 3597) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43164 a prime number?
No. 43164 = × × 11 × 109, so it is divisible by 2.
What are the factors of 43164?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 109, 132, 198, 218, 327, 396, 436, 654, 981, 1199, 1308, 1962, 2398, 3597, 3924, 4796, 7194, 10791, 14388, 21582, 43164.
What is 43164 in binary?
1010100010011100 (hexadecimal A89C, octal 124234).
What is the square root of 43164?
About 207.7595, exactly 6√1199.
Is 43164 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43164?
43164 is a Harshad number: divisible by its digit sum 18.