The number 1836
1836 is a composite number with 24 divisors. Its prime factorisation is × × 17. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102 … 1836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1836: a Harshad number: divisible by its digit sum 18.
- 2
1836 is composite. Its prime factorisation is
- 3
The divisors add up to 5040; without 1836 itself that is 3204, so 1836 is abundant (3204 is more than 1836). Euler's totient φ(1836) = 576 numbers up to 1836 share no factor with it.
- 4
The digits of 1836 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1836 = 2^{2} \times 3^{3} \times 17 \]1836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 5040 |
| Euler totient φ(n) | 576 |
| Square | 3370896 |
| Cube | 6188965056 |
| Square root | 42.848571 (= 6√51) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.836 × |
1836 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and thirty-six |
| Roman numerals | MDCCCXXXVI |
| Binary (base 2) | 11100101100 |
| Octal (base 8) | 3454 |
| Hexadecimal (base 16) | 72C |
| Base 3 | 2112000 |
| As time | 1836 seconds = 30 min 36 s |
Is 1836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1836 ÷ 2 = 918) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1836 ÷ 3 = 612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1836 ÷ 4 = 459) | 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 | Yes (1836 ÷ 6 = 306) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (1836 ÷ 9 = 204) | 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 | Yes (1836 ÷ 12 = 153) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1836 a prime number?
No. 1836 = × × 17, so it is divisible by 2.
What are the factors of 1836?
1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836.
What is 1836 in binary?
11100101100 (hexadecimal 72C, octal 3454).
What is the square root of 1836?
About 42.8486, exactly 6√51.
What is 1836 in Roman numerals?
MDCCCXXXVI.
Is 1836 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1836?
1836 is a Harshad number: divisible by its digit sum 18.