The number 38181
38181 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 89. Divisors (16): 1, 3, 11, 13, 33, 39, 89, 143, 267, 429, 979, 1157, 2937, 3471, 12727, 38181.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38181: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38181 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 38181 itself that is 22299, so 38181 is deficient (22299 is less than 38181). Euler's totient φ(38181) = 21120 numbers up to 38181 share no factor with it.
- 4
The digits of 38181 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38181 = 3 \times 11 \times 13 \times 89 \]
38181 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 21120 |
| Square | 1457788761 |
| Cube | 55659832683741 |
| Square root | 195.399591 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8181 × |
38181 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and eighty-one |
| Binary (base 2) | 1001010100100101 |
| Octal (base 8) | 112445 |
| Hexadecimal (base 16) | 9525 |
| Base 3 | 1221101010 |
| As time | 38181 seconds = 10 h 36 min 21 s |
Is 38181 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 (38181 ÷ 3 = 12727) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (38181 ÷ 11 = 3471) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38181 a prime number?
No. 38181 = 3 × 11 × 13 × 89, so it is divisible by 3.
What are the factors of 38181?
1, 3, 11, 13, 33, 39, 89, 143, 267, 429, 979, 1157, 2937, 3471, 12727, 38181.
What is 38181 in binary?
1001010100100101 (hexadecimal 9525, octal 112445).
What is the square root of 38181?
About 195.3996.
Is 38181 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38181?
38181 is a happy number: repeatedly adding the squares of its digits reaches 1.