The number 61842
61842 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 937. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 937, 1874, 2811, 5622, 10307, 20614, 30921, 61842.
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How to work it out
- 1
61842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61842 is composite. Its prime factorisation is
- 3
The divisors add up to 135072; without 61842 itself that is 73230, so 61842 is abundant (73230 is more than 61842). Euler's totient φ(61842) = 18720 numbers up to 61842 share no factor with it.
- 4
The digits of 61842 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61842 = 2 \times 3 \times 11 \times 937 \]
61842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 135072 |
| Euler totient φ(n) | 18720 |
| Square | 3824432964 |
| Cube | 236510583359688 |
| Square root | 248.680518 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1842 × |
61842 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand eight hundred and forty-two |
| Binary (base 2) | 1111000110010010 |
| Octal (base 8) | 170622 |
| Hexadecimal (base 16) | F192 |
| Base 3 | 10010211110 |
| As time | 61842 seconds = 17 h 10 min 42 s |
Is 61842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61842 ÷ 2 = 30921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61842 ÷ 3 = 20614) | 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 (61842 ÷ 6 = 10307) | 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 3) | 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 | Yes (61842 ÷ 11 = 5622) | 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 61842 a prime number?
No. 61842 = 2 × 3 × 11 × 937, so it is divisible by 2.
What are the factors of 61842?
1, 2, 3, 6, 11, 22, 33, 66, 937, 1874, 2811, 5622, 10307, 20614, 30921, 61842.
What is 61842 in binary?
1111000110010010 (hexadecimal F192, octal 170622).
What is the square root of 61842?
About 248.6805.
Is 61842 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 61842?
It is a composite number with 16 divisors.