The number 1036
1036 is a composite number with 12 divisors. Its prime factorisation is × 7 × 37. Divisors (12): 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1036 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1036 is composite. Its prime factorisation is
- 3
The divisors add up to 2128; without 1036 itself that is 1092, so 1036 is abundant (1092 is more than 1036). Euler's totient φ(1036) = 432 numbers up to 1036 share no factor with it.
- 4
The digits of 1036 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1036 = 2^{2} \times 7 \times 37 \]1036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2128 |
| Euler totient φ(n) | 432 |
| Square | 1073296 |
| Cube | 1111934656 |
| Square root | 32.186954 (= 2√259) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.036 × |
1036 in other forms
| Form | Value |
|---|---|
| In words | one thousand and thirty-six |
| Roman numerals | MXXXVI |
| Binary (base 2) | 10000001100 |
| Octal (base 8) | 2014 |
| Hexadecimal (base 16) | 40C |
| Base 3 | 1102101 |
| As time | 1036 seconds = 17 min 16 s |
Is 1036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1036 ÷ 2 = 518) | 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 (1036 ÷ 4 = 259) | 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 (1036 ÷ 7 = 148) | 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 2) | 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 1036 a prime number?
No. 1036 = × 7 × 37, so it is divisible by 2.
What are the factors of 1036?
1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036.
What is 1036 in binary?
10000001100 (hexadecimal 40C, octal 2014).
What is the square root of 1036?
About 32.1870, exactly 2√259.
What is 1036 in Roman numerals?
MXXXVI.
Is 1036 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1036?
It is a composite number with 12 divisors.