The number 4036
4036 is a composite number with 6 divisors. Its prime factorisation is × 1009. Divisors (6): 1, 2, 4, 1009, 2018, 4036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4036 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4036 is composite. Its prime factorisation is
- 3
The divisors add up to 7070; without 4036 itself that is 3034, so 4036 is deficient (3034 is less than 4036). Euler's totient φ(4036) = 2016 numbers up to 4036 share no factor with it.
- 4
The digits of 4036 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4036 = 2^{2} \times 1009 \]4036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7070 |
| Euler totient φ(n) | 2016 |
| Square | 16289296 |
| Cube | 65743598656 |
| Square root | 63.529521 (= 2√1009) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 113 |
| Scientific notation | 4.036 × |
4036 in other forms
| Form | Value |
|---|---|
| In words | four thousand and thirty-six |
| Binary (base 2) | 111111000100 |
| Octal (base 8) | 7704 |
| Hexadecimal (base 16) | FC4 |
| Base 3 | 12112111 |
| As time | 4036 seconds = 1 h 7 min 16 s |
Is 4036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4036 ÷ 2 = 2018) | 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 (4036 ÷ 4 = 1009) | 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 | No (remainder 4) | 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 4) | 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 10) | 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 4036 a prime number?
No. 4036 = × 1009, so it is divisible by 2.
What are the factors of 4036?
1, 2, 4, 1009, 2018, 4036.
What is 4036 in binary?
111111000100 (hexadecimal FC4, octal 7704).
What is the square root of 4036?
About 63.5295, exactly 2√1009.
Is 4036 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4036?
It is a composite number with 6 divisors.