The number 39221
39221 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 431. Divisors (8): 1, 7, 13, 91, 431, 3017, 5603, 39221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39221 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39221 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 39221 itself that is 9163, so 39221 is deficient (9163 is less than 39221). Euler's totient φ(39221) = 30960 numbers up to 39221 share no factor with it.
- 4
The digits of 39221 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39221 = 7 \times 13 \times 431 \]
39221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 30960 |
| Square | 1538286841 |
| Cube | 60333148190861 |
| Square root | 198.042925 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9221 × |
39221 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand two hundred and twenty-one |
| Binary (base 2) | 1001100100110101 |
| Octal (base 8) | 114465 |
| Hexadecimal (base 16) | 9935 |
| Base 3 | 1222210122 |
| As time | 39221 seconds = 10 h 53 min 41 s |
Is 39221 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (39221 ÷ 7 = 5603) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39221 a prime number?
No. 39221 = 7 × 13 × 431, so it is divisible by 7.
What are the factors of 39221?
1, 7, 13, 91, 431, 3017, 5603, 39221.
What is 39221 in binary?
1001100100110101 (hexadecimal 9935, octal 114465).
What is the square root of 39221?
About 198.0429.
Is 39221 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 39221?
It is a composite number with 8 divisors.