The number 38122
38122 is a composite number with 12 divisors. Its prime factorisation is 2 × × 389. Divisors (12): 1, 2, 7, 14, 49, 98, 389, 778, 2723, 5446, 19061, 38122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38122: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38122 is composite. Its prime factorisation is
- 3
The divisors add up to 66690; without 38122 itself that is 28568, so 38122 is deficient (28568 is less than 38122). Euler's totient φ(38122) = 16296 numbers up to 38122 share no factor with it.
- 4
The digits of 38122 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38122 = 2 \times 7^{2} \times 389 \]38122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66690 |
| Euler totient φ(n) | 16296 |
| Square | 1453286884 |
| Cube | 55402202591848 |
| Square root | 195.248560 (= 7√778) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8122 × |
38122 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and twenty-two |
| Binary (base 2) | 1001010011101010 |
| Octal (base 8) | 112352 |
| Hexadecimal (base 16) | 94EA |
| Base 3 | 1221021221 |
| As time | 38122 seconds = 10 h 35 min 22 s |
Is 38122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38122 ÷ 2 = 19061) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38122 ÷ 7 = 5446) | 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38122 a prime number?
No. 38122 = 2 × × 389, so it is divisible by 2.
What are the factors of 38122?
1, 2, 7, 14, 49, 98, 389, 778, 2723, 5446, 19061, 38122.
What is 38122 in binary?
1001010011101010 (hexadecimal 94EA, octal 112352).
What is the square root of 38122?
About 195.2486, exactly 7√778.
Is 38122 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 38122?
38122 is a happy number: repeatedly adding the squares of its digits reaches 1.