The number 43364
43364 is a composite number with 12 divisors. Its prime factorisation is × 37 × 293. Divisors (12): 1, 2, 4, 37, 74, 148, 293, 586, 1172, 10841, 21682, 43364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43364: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43364 is composite. Its prime factorisation is
- 3
The divisors add up to 78204; without 43364 itself that is 34840, so 43364 is deficient (34840 is less than 43364). Euler's totient φ(43364) = 21024 numbers up to 43364 share no factor with it.
- 4
The digits of 43364 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43364 = 2^{2} \times 37 \times 293 \]43364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78204 |
| Euler totient φ(n) | 21024 |
| Square | 1880436496 |
| Cube | 81543248212544 |
| Square root | 208.240246 (= 2√10841) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.3364 × |
43364 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and sixty-four |
| Binary (base 2) | 1010100101100100 |
| Octal (base 8) | 124544 |
| Hexadecimal (base 16) | A964 |
| Base 3 | 2012111002 |
| As time | 43364 seconds = 12 h 2 min 44 s |
Is 43364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43364 ÷ 2 = 21682) | 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 | Yes (43364 ÷ 4 = 10841) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43364 a prime number?
No. 43364 = × 37 × 293, so it is divisible by 2.
What are the factors of 43364?
1, 2, 4, 37, 74, 148, 293, 586, 1172, 10841, 21682, 43364.
What is 43364 in binary?
1010100101100100 (hexadecimal A964, octal 124544).
What is the square root of 43364?
About 208.2402, exactly 2√10841.
Is 43364 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43364?
43364 is a happy number: repeatedly adding the squares of its digits reaches 1.