The number 67022
67022 is a composite number with 16 divisors. Its prime factorisation is 2 × 23 × 31 × 47. Divisors (16): 1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511, 67022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67022 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67022 is composite. Its prime factorisation is
- 3
The divisors add up to 110592; without 67022 itself that is 43570, so 67022 is deficient (43570 is less than 67022). Euler's totient φ(67022) = 30360 numbers up to 67022 share no factor with it.
- 4
The digits of 67022 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67022 = 2 \times 23 \times 31 \times 47 \]
67022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110592 |
| Euler totient φ(n) | 30360 |
| Square | 4491948484 |
| Cube | 301059371294648 |
| Square root | 258.886075 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 143 |
| Scientific notation | 6.7022 × |
67022 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and twenty-two |
| Binary (base 2) | 10000010111001110 |
| Octal (base 8) | 202716 |
| Hexadecimal (base 16) | 105CE |
| Base 3 | 10101221022 |
| As time | 67022 seconds = 18 h 37 min 2 s |
Is 67022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67022 ÷ 2 = 33511) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67022 a prime number?
No. 67022 = 2 × 23 × 31 × 47, so it is divisible by 2.
What are the factors of 67022?
1, 2, 23, 31, 46, 47, 62, 94, 713, 1081, 1426, 1457, 2162, 2914, 33511, 67022.
What is 67022 in binary?
10000010111001110 (hexadecimal 105CE, octal 202716).
What is the square root of 67022?
About 258.8861.
Is 67022 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67022?
It is a composite number with 16 divisors.