The number 2842
2842 is a composite number with 12 divisors. Its prime factorisation is 2 × × 29. Divisors (12): 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2842 is composite. Its prime factorisation is
- 3
The divisors add up to 5130; without 2842 itself that is 2288, so 2842 is deficient (2288 is less than 2842). Euler's totient φ(2842) = 1176 numbers up to 2842 share no factor with it.
- 4
The digits of 2842 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2842 = 2 \times 7^{2} \times 29 \]2842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5130 |
| Euler totient φ(n) | 1176 |
| Square | 8076964 |
| Cube | 22954731688 |
| Square root | 53.310412 (= 7√58) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 35 |
| Scientific notation | 2.842 × |
2842 in other forms
| Form | Value |
|---|---|
| In words | two thousand eight hundred and forty-two |
| Roman numerals | MMDCCCXLII |
| Binary (base 2) | 101100011010 |
| Octal (base 8) | 5432 |
| Hexadecimal (base 16) | B1A |
| Base 3 | 10220021 |
| As time | 2842 seconds = 47 min 22 s |
Is 2842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2842 ÷ 2 = 1421) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2842 ÷ 7 = 406) | 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 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2842 a prime number?
No. 2842 = 2 × × 29, so it is divisible by 2.
What are the factors of 2842?
1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842.
What is 2842 in binary?
101100011010 (hexadecimal B1A, octal 5432).
What is the square root of 2842?
About 53.3104, exactly 7√58.
What is 2842 in Roman numerals?
MMDCCCXLII.
Is 2842 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2842?
It is a composite number with 12 divisors.