The number 8036
8036 is a composite number with 18 divisors. Its prime factorisation is × × 41. Divisors (18): 1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009 … 8036.
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How to work it out
- 1
What is special about 8036: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8036 is composite. Its prime factorisation is
- 3
The divisors add up to 16758; without 8036 itself that is 8722, so 8036 is abundant (8722 is more than 8036). Euler's totient φ(8036) = 3360 numbers up to 8036 share no factor with it.
- 4
The digits of 8036 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8036 = 2^{2} \times 7^{2} \times 41 \]8036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 16758 |
| Euler totient φ(n) | 3360 |
| Square | 64577296 |
| Cube | 518943150656 |
| Square root | 89.643739 (= 14√41) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 26 |
| Scientific notation | 8.036 × |
8036 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and thirty-six |
| Binary (base 2) | 1111101100100 |
| Octal (base 8) | 17544 |
| Hexadecimal (base 16) | 1F64 |
| Base 3 | 102000122 |
| As time | 8036 seconds = 2 h 13 min 56 s |
Is 8036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8036 ÷ 2 = 4018) | 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 (8036 ÷ 4 = 2009) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8036 ÷ 7 = 1148) | 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 8) | 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 6) | 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 8036 a prime number?
No. 8036 = × × 41, so it is divisible by 2.
What are the factors of 8036?
1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036.
What is 8036 in binary?
1111101100100 (hexadecimal 1F64, octal 17544).
What is the square root of 8036?
About 89.6437, exactly 14√41.
Is 8036 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8036?
8036 is a happy number: repeatedly adding the squares of its digits reaches 1.