The number 46842
46842 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 211. Divisors (16): 1, 2, 3, 6, 37, 74, 111, 211, 222, 422, 633, 1266, 7807, 15614, 23421, 46842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46842 is composite. Its prime factorisation is
- 3
The divisors add up to 96672; without 46842 itself that is 49830, so 46842 is abundant (49830 is more than 46842). Euler's totient φ(46842) = 15120 numbers up to 46842 share no factor with it.
- 4
The digits of 46842 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46842 = 2 \times 3 \times 37 \times 211 \]
46842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96672 |
| Euler totient φ(n) | 15120 |
| Square | 2194172964 |
| Cube | 102779449979688 |
| Square root | 216.430127 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6842 × |
46842 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and forty-two |
| Binary (base 2) | 1011011011111010 |
| Octal (base 8) | 133372 |
| Hexadecimal (base 16) | B6FA |
| Base 3 | 2101020220 |
| As time | 46842 seconds = 13 h 0 min 42 s |
Is 46842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46842 ÷ 2 = 23421) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46842 ÷ 3 = 15614) | 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 (46842 ÷ 6 = 7807) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 46842 a prime number?
No. 46842 = 2 × 3 × 37 × 211, so it is divisible by 2.
What are the factors of 46842?
1, 2, 3, 6, 37, 74, 111, 211, 222, 422, 633, 1266, 7807, 15614, 23421, 46842.
What is 46842 in binary?
1011011011111010 (hexadecimal B6FA, octal 133372).
What is the square root of 46842?
About 216.4301.
Is 46842 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46842?
It is a composite number with 16 divisors.