The number 1842
1842 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 307. Divisors (8): 1, 2, 3, 6, 307, 614, 921, 1842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1842 is composite. Its prime factorisation is
- 3
The divisors add up to 3696; without 1842 itself that is 1854, so 1842 is abundant (1854 is more than 1842). Euler's totient φ(1842) = 612 numbers up to 1842 share no factor with it.
- 4
The digits of 1842 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1842 = 2 \times 3 \times 307 \]
1842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3696 |
| Euler totient φ(n) | 612 |
| Square | 3392964 |
| Cube | 6249839688 |
| Square root | 42.918527 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.842 × |
1842 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and forty-two |
| Roman numerals | MDCCCXLII |
| Binary (base 2) | 11100110010 |
| Octal (base 8) | 3462 |
| Hexadecimal (base 16) | 732 |
| Base 3 | 2112020 |
| As time | 1842 seconds = 30 min 42 s |
Is 1842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1842 ÷ 2 = 921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1842 ÷ 3 = 614) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (1842 ÷ 6 = 307) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1842 a prime number?
No. 1842 = 2 × 3 × 307, so it is divisible by 2.
What are the factors of 1842?
1, 2, 3, 6, 307, 614, 921, 1842.
What is 1842 in binary?
11100110010 (hexadecimal 732, octal 3462).
What is the square root of 1842?
About 42.9185.
What is 1842 in Roman numerals?
MDCCCXLII.
Is 1842 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1842?
It is a composite number with 8 divisors.