The number 67322
67322 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 821. Divisors (8): 1, 2, 41, 82, 821, 1642, 33661, 67322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67322 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67322 is composite. Its prime factorisation is
- 3
The divisors add up to 103572; without 67322 itself that is 36250, so 67322 is deficient (36250 is less than 67322). Euler's totient φ(67322) = 32800 numbers up to 67322 share no factor with it.
- 4
The digits of 67322 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67322 = 2 \times 41 \times 821 \]
67322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 103572 |
| Euler totient φ(n) | 32800 |
| Square | 4532251684 |
| Cube | 305120247870248 |
| Square root | 259.464834 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7322 × |
67322 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and twenty-two |
| Binary (base 2) | 10000011011111010 |
| Octal (base 8) | 203372 |
| Hexadecimal (base 16) | 106FA |
| Base 3 | 10102100102 |
| As time | 67322 seconds = 18 h 42 min 2 s |
Is 67322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67322 ÷ 2 = 33661) | 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 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 2) | 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 2) | 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 67322 a prime number?
No. 67322 = 2 × 41 × 821, so it is divisible by 2.
What are the factors of 67322?
1, 2, 41, 82, 821, 1642, 33661, 67322.
What is 67322 in binary?
10000011011111010 (hexadecimal 106FA, octal 203372).
What is the square root of 67322?
About 259.4648.
Is 67322 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67322?
It is a composite number with 8 divisors.