The number 38642
38642 is a composite number with 6 divisors. Its prime factorisation is 2 Ć . Divisors (6): 1, 2, 139, 278, 19321, 38642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38642: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38642 is composite. Its prime factorisation is
- 3
The divisors add up to 58383; without 38642 itself that is 19741, so 38642 is deficient (19741 is less than 38642). Euler's totient Ļ(38642) = 19182 numbers up to 38642 share no factor with it.
- 4
The digits of 38642 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38642 = 2 \times 139^{2} \]38642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 58383 |
| Euler totient Ļ(n) | 19182 |
| Square | 1493204164 |
| Cube | 57700395305288 |
| Square root | 196.575685 (= 139ā2) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8642 Ć |
38642 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and forty-two |
| Binary (base 2) | 1001011011110010 |
| Octal (base 8) | 113362 |
| Hexadecimal (base 16) | 96F2 |
| Base 3 | 1222000012 |
| As time | 38642 seconds = 10 h 44 min 2 s |
Is 38642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38642 Ć· 2 = 19321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38642 a prime number?
No. 38642 = 2 Ć , so it is divisible by 2.
What are the factors of 38642?
1, 2, 139, 278, 19321, 38642.
What is 38642 in binary?
1001011011110010 (hexadecimal 96F2, octal 113362).
What is the square root of 38642?
About 196.5757, exactly 139ā2.
Is 38642 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38642?
38642 is a happy number: repeatedly adding the squares of its digits reaches 1.