The number 10036
10036 is a composite number with 12 divisors. Its prime factorisation is × 13 × 193. Divisors (12): 1, 2, 4, 13, 26, 52, 193, 386, 772, 2509, 5018, 10036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10036 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10036 is composite. Its prime factorisation is
- 3
The divisors add up to 19012; without 10036 itself that is 8976, so 10036 is deficient (8976 is less than 10036). Euler's totient φ(10036) = 4608 numbers up to 10036 share no factor with it.
- 4
The digits of 10036 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10036 = 2^{2} \times 13 \times 193 \]10036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19012 |
| Euler totient φ(n) | 4608 |
| Square | 100721296 |
| Cube | 1010838926656 |
| Square root | 100.179838 (= 2√2509) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0036 × |
10036 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and thirty-six |
| Binary (base 2) | 10011100110100 |
| Octal (base 8) | 23464 |
| Hexadecimal (base 16) | 2734 |
| Base 3 | 111202201 |
| As time | 10036 seconds = 2 h 47 min 16 s |
Is 10036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10036 ÷ 2 = 5018) | 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 (10036 ÷ 4 = 2509) | 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 5) | 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 1) | 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 10036 a prime number?
No. 10036 = × 13 × 193, so it is divisible by 2.
What are the factors of 10036?
1, 2, 4, 13, 26, 52, 193, 386, 772, 2509, 5018, 10036.
What is 10036 in binary?
10011100110100 (hexadecimal 2734, octal 23464).
What is the square root of 10036?
About 100.1798, exactly 2√2509.
Is 10036 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10036?
It is a composite number with 12 divisors.