The number 1828
1828 is a composite number with 6 divisors. Its prime factorisation is × 457. Divisors (6): 1, 2, 4, 457, 914, 1828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1828: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1828 is composite. Its prime factorisation is
- 3
The divisors add up to 3206; without 1828 itself that is 1378, so 1828 is deficient (1378 is less than 1828). Euler's totient φ(1828) = 912 numbers up to 1828 share no factor with it.
- 4
The digits of 1828 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1828 = 2^{2} \times 457 \]1828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3206 |
| Euler totient φ(n) | 912 |
| Square | 3341584 |
| Cube | 6108415552 |
| Square root | 42.755117 (= 2√457) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.828 × |
1828 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and twenty-eight |
| Roman numerals | MDCCCXXVIII |
| Binary (base 2) | 11100100100 |
| Octal (base 8) | 3444 |
| Hexadecimal (base 16) | 724 |
| Base 3 | 2111201 |
| As time | 1828 seconds = 30 min 28 s |
Is 1828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1828 ÷ 2 = 914) | 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 (1828 ÷ 4 = 457) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 8) | 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 1828 a prime number?
No. 1828 = × 457, so it is divisible by 2.
What are the factors of 1828?
1, 2, 4, 457, 914, 1828.
What is 1828 in binary?
11100100100 (hexadecimal 724, octal 3444).
What is the square root of 1828?
About 42.7551, exactly 2√457.
What is 1828 in Roman numerals?
MDCCCXXVIII.
Is 1828 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1828?
1828 is a happy number: repeatedly adding the squares of its digits reaches 1.