The number 1816
1816 is a composite number with 8 divisors. Its prime factorisation is × 227. Divisors (8): 1, 2, 4, 8, 227, 454, 908, 1816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1816 is composite. Its prime factorisation is
- 3
The divisors add up to 3420; without 1816 itself that is 1604, so 1816 is deficient (1604 is less than 1816). Euler's totient φ(1816) = 904 numbers up to 1816 share no factor with it.
- 4
The digits of 1816 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 16 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1816 = 2^{3} \times 227 \]1816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3420 |
| Euler totient φ(n) | 904 |
| Square | 3297856 |
| Cube | 5988906496 |
| Square root | 42.614552 (= 2√454) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 16 |
| Scientific notation | 1.816 × |
1816 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and sixteen |
| Roman numerals | MDCCCXVI |
| Binary (base 2) | 11100011000 |
| Octal (base 8) | 3430 |
| Hexadecimal (base 16) | 718 |
| Base 3 | 2111021 |
| As time | 1816 seconds = 30 min 16 s |
Is 1816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1816 ÷ 2 = 908) | 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 (1816 ÷ 4 = 454) | 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 3) | 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 | Yes (1816 ÷ 8 = 227) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 1816 a prime number?
No. 1816 = × 227, so it is divisible by 2.
What are the factors of 1816?
1, 2, 4, 8, 227, 454, 908, 1816.
What is 1816 in binary?
11100011000 (hexadecimal 718, octal 3430).
What is the square root of 1816?
About 42.6146, exactly 2√454.
What is 1816 in Roman numerals?
MDCCCXVI.
Is 1816 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1816?
It is a composite number with 8 divisors.