The number 1827
1827 is a composite number with 12 divisors. Its prime factorisation is × 7 × 29. Divisors (12): 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1827 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1827 is composite. Its prime factorisation is
- 3
The divisors add up to 3120; without 1827 itself that is 1293, so 1827 is deficient (1293 is less than 1827). Euler's totient φ(1827) = 1008 numbers up to 1827 share no factor with it.
- 4
The digits of 1827 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
\[ 1827 = 3^{2} \times 7 \times 29 \]1827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3120 |
| Euler totient φ(n) | 1008 |
| Square | 3337929 |
| Cube | 6098396283 |
| Square root | 42.743421 (= 3√203) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.827 × |
1827 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and twenty-seven |
| Roman numerals | MDCCCXXVII |
| Binary (base 2) | 11100100011 |
| Octal (base 8) | 3443 |
| Hexadecimal (base 16) | 723 |
| Base 3 | 2111200 |
| As time | 1827 seconds = 30 min 27 s |
Is 1827 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1827 ÷ 3 = 609) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1827 ÷ 7 = 261) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1827 ÷ 9 = 203) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1827 a prime number?
No. 1827 = × 7 × 29, so it is divisible by 3.
What are the factors of 1827?
1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827.
What is 1827 in binary?
11100100011 (hexadecimal 723, octal 3443).
What is the square root of 1827?
About 42.7434, exactly 3√203.
What is 1827 in Roman numerals?
MDCCCXXVII.
Is 1827 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1827?
It is a composite number with 12 divisors.