The number 5842
5842 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 127. Divisors (8): 1, 2, 23, 46, 127, 254, 2921, 5842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5842: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5842 is composite. Its prime factorisation is
- 3
The divisors add up to 9216; without 5842 itself that is 3374, so 5842 is deficient (3374 is less than 5842). Euler's totient φ(5842) = 2772 numbers up to 5842 share no factor with it.
- 4
The digits of 5842 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5842 = 2 \times 23 \times 127 \]
5842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9216 |
| Euler totient φ(n) | 2772 |
| Square | 34128964 |
| Cube | 199381407688 |
| Square root | 76.432977 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.842 × |
5842 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and forty-two |
| Binary (base 2) | 1011011010010 |
| Octal (base 8) | 13322 |
| Hexadecimal (base 16) | 16D2 |
| Base 3 | 22000101 |
| As time | 5842 seconds = 1 h 37 min 22 s |
Is 5842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5842 ÷ 2 = 2921) | 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 | No (remainder 4) | 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 1) | 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 1) | 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 5842 a prime number?
No. 5842 = 2 × 23 × 127, so it is divisible by 2.
What are the factors of 5842?
1, 2, 23, 46, 127, 254, 2921, 5842.
What is 5842 in binary?
1011011010010 (hexadecimal 16D2, octal 13322).
What is the square root of 5842?
About 76.4330.
Is 5842 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5842?
5842 is a happy number: repeatedly adding the squares of its digits reaches 1.