The number 38322
38322 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2129. Divisors (12): 1, 2, 3, 6, 9, 18, 2129, 4258, 6387, 12774, 19161, 38322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38322: a Harshad number: divisible by its digit sum 18.
- 2
38322 is composite. Its prime factorisation is
- 3
The divisors add up to 83070; without 38322 itself that is 44748, so 38322 is abundant (44748 is more than 38322). Euler's totient φ(38322) = 12768 numbers up to 38322 share no factor with it.
- 4
The digits of 38322 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38322 = 2 \times 3^{2} \times 2129 \]38322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83070 |
| Euler totient φ(n) | 12768 |
| Square | 1468575684 |
| Cube | 56278757362248 |
| Square root | 195.760057 (= 3√4258) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8322 × |
38322 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and twenty-two |
| Binary (base 2) | 1001010110110010 |
| Octal (base 8) | 112662 |
| Hexadecimal (base 16) | 95B2 |
| Base 3 | 1221120100 |
| As time | 38322 seconds = 10 h 38 min 42 s |
Is 38322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38322 ÷ 2 = 19161) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38322 ÷ 3 = 12774) | 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 (38322 ÷ 6 = 6387) | 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 | Yes (38322 ÷ 9 = 4258) | 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 9) | 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 38322 a prime number?
No. 38322 = 2 × × 2129, so it is divisible by 2.
What are the factors of 38322?
1, 2, 3, 6, 9, 18, 2129, 4258, 6387, 12774, 19161, 38322.
What is 38322 in binary?
1001010110110010 (hexadecimal 95B2, octal 112662).
What is the square root of 38322?
About 195.7601, exactly 3√4258.
Is 38322 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38322?
38322 is a Harshad number: divisible by its digit sum 18.