The number 43036
43036 is a composite number with 24 divisors. Its prime factorisation is × 7 × 29 × 53. Divisors (24): 1, 2, 4, 7, 14, 28, 29, 53, 58, 106, 116, 203, 212, 371, 406, 742 … 43036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43036: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43036 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 43036 itself that is 47684, so 43036 is abundant (47684 is more than 43036). Euler's totient φ(43036) = 17472 numbers up to 43036 share no factor with it.
- 4
The digits of 43036 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43036 = 2^{2} \times 7 \times 29 \times 53 \]43036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 17472 |
| Square | 1852097296 |
| Cube | 79706859230656 |
| Square root | 207.451199 (= 2√10759) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.3036 × |
43036 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and thirty-six |
| Binary (base 2) | 1010100000011100 |
| Octal (base 8) | 124034 |
| Hexadecimal (base 16) | A81C |
| Base 3 | 2012000221 |
| As time | 43036 seconds = 11 h 57 min 16 s |
Is 43036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43036 ÷ 2 = 21518) | 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 | Yes (43036 ÷ 4 = 10759) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43036 ÷ 7 = 6148) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43036 a prime number?
No. 43036 = × 7 × 29 × 53, so it is divisible by 2.
What are the factors of 43036?
1, 2, 4, 7, 14, 28, 29, 53, 58, 106, 116, 203, 212, 371, 406, 742, 812, 1484, 1537, 3074, 6148, 10759, 21518, 43036.
What is 43036 in binary?
1010100000011100 (hexadecimal A81C, octal 124034).
What is the square root of 43036?
About 207.4512, exactly 2√10759.
Is 43036 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43036?
43036 is a happy number: repeatedly adding the squares of its digits reaches 1.