The number 68442
68442 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 11 × 17 × 61. Divisors (32): 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 61, 66, 102, 122, 183, 187 … 68442.
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How to work it out
- 1
68442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
68442 is composite. Its prime factorisation is
- 3
The divisors add up to 160704; without 68442 itself that is 92262, so 68442 is abundant (92262 is more than 68442). Euler's totient φ(68442) = 19200 numbers up to 68442 share no factor with it.
- 4
The digits of 68442 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68442 = 2 \times 3 \times 11 \times 17 \times 61 \]
68442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 160704 |
| Euler totient φ(n) | 19200 |
| Square | 4684307364 |
| Cube | 320603364606888 |
| Square root | 261.614220 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.8442 × |
68442 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand four hundred and forty-two |
| Binary (base 2) | 10000101101011010 |
| Octal (base 8) | 205532 |
| Hexadecimal (base 16) | 10B5A |
| Base 3 | 10110212220 |
| As time | 68442 seconds = 19 h 0 min 42 s |
Is 68442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68442 ÷ 2 = 34221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (68442 ÷ 3 = 22814) | 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 (68442 ÷ 6 = 11407) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (68442 ÷ 11 = 6222) | 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 68442 a prime number?
No. 68442 = 2 × 3 × 11 × 17 × 61, so it is divisible by 2.
What are the factors of 68442?
1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 61, 66, 102, 122, 183, 187, 366, 374, 561, 671, 1037, 1122, 1342, 2013, 2074, 3111, 4026, 6222, 11407, 22814, 34221, 68442.
What is 68442 in binary?
10000101101011010 (hexadecimal 10B5A, octal 205532).
What is the square root of 68442?
About 261.6142.
Is 68442 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 68442?
It is a composite number with 32 divisors.