The number 38106
38106 is a composite number with 24 divisors. Its prime factorisation is 2 × × 29 × 73. Divisors (24): 1, 2, 3, 6, 9, 18, 29, 58, 73, 87, 146, 174, 219, 261, 438, 522 … 38106.
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How to work it out
- 1
What is special about 38106: a Harshad number: divisible by its digit sum 18.
- 2
38106 is composite. Its prime factorisation is
- 3
The divisors add up to 86580; without 38106 itself that is 48474, so 38106 is abundant (48474 is more than 38106). Euler's totient φ(38106) = 12096 numbers up to 38106 share no factor with it.
- 4
The digits of 38106 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 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38106 = 2 \times 3^{2} \times 29 \times 73 \]38106 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 86580 |
| Euler totient φ(n) | 12096 |
| Square | 1452067236 |
| Cube | 55332474095016 |
| Square root | 195.207582 (= 3√4234) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8106 × |
38106 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and six |
| Binary (base 2) | 1001010011011010 |
| Octal (base 8) | 112332 |
| Hexadecimal (base 16) | 94DA |
| Base 3 | 1221021100 |
| As time | 38106 seconds = 10 h 35 min 6 s |
Is 38106 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38106 ÷ 2 = 19053) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38106 ÷ 3 = 12702) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38106 ÷ 6 = 6351) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38106 ÷ 9 = 4234) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 38106 a prime number?
No. 38106 = 2 × × 29 × 73, so it is divisible by 2.
What are the factors of 38106?
1, 2, 3, 6, 9, 18, 29, 58, 73, 87, 146, 174, 219, 261, 438, 522, 657, 1314, 2117, 4234, 6351, 12702, 19053, 38106.
What is 38106 in binary?
1001010011011010 (hexadecimal 94DA, octal 112332).
What is the square root of 38106?
About 195.2076, exactly 3√4234.
Is 38106 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38106?
38106 is a Harshad number: divisible by its digit sum 18.