The number 38211
38211 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 271. Divisors (8): 1, 3, 47, 141, 271, 813, 12737, 38211.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38211: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38211 is composite. Its prime factorisation is
- 3
The divisors add up to 52224; without 38211 itself that is 14013, so 38211 is deficient (14013 is less than 38211). Euler's totient φ(38211) = 24840 numbers up to 38211 share no factor with it.
- 4
The digits of 38211 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38211 = 3 \times 47 \times 271 \]
38211 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52224 |
| Euler totient φ(n) | 24840 |
| Square | 1460080521 |
| Cube | 55791136787931 |
| Square root | 195.476341 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8211 × |
38211 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and eleven |
| Binary (base 2) | 1001010101000011 |
| Octal (base 8) | 112503 |
| Hexadecimal (base 16) | 9543 |
| Base 3 | 1221102020 |
| As time | 38211 seconds = 10 h 36 min 51 s |
Is 38211 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 | Yes (38211 ÷ 3 = 12737) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38211 a prime number?
No. 38211 = 3 × 47 × 271, so it is divisible by 3.
What are the factors of 38211?
1, 3, 47, 141, 271, 813, 12737, 38211.
What is 38211 in binary?
1001010101000011 (hexadecimal 9543, octal 112503).
What is the square root of 38211?
About 195.4763.
Is 38211 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 38211?
38211 is a happy number: repeatedly adding the squares of its digits reaches 1.