The number 38221
38221 is a composite number with 4 divisors. Its prime factorisation is 37 × 1033. Divisors (4): 1, 37, 1033, 38221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38221: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1033, the product of two primes.
- 2
38221 is composite. Its prime factorisation is
- 3
The divisors add up to 39292; without 38221 itself that is 1071, so 38221 is deficient (1071 is less than 38221). Euler's totient φ(38221) = 37152 numbers up to 38221 share no factor with it.
- 4
The digits of 38221 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38221 = 37 \times 1033 \]
38221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 39292 |
| Euler totient φ(n) | 37152 |
| Square | 1460844841 |
| Cube | 55834950667861 |
| Square root | 195.501918 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8221 × |
38221 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and twenty-one |
| Binary (base 2) | 1001010101001101 |
| Octal (base 8) | 112515 |
| Hexadecimal (base 16) | 954D |
| Base 3 | 1221102121 |
| As time | 38221 seconds = 10 h 37 min 1 s |
Is 38221 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38221 a prime number?
No. 38221 = 37 × 1033, so it is divisible by 37.
What are the factors of 38221?
1, 37, 1033, 38221.
What is 38221 in binary?
1001010101001101 (hexadecimal 954D, octal 112515).
What is the square root of 38221?
About 195.5019.
Is 38221 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 38221?
38221 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1033, the product of two primes.