The number 38442
38442 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 43 × 149. Divisors (16): 1, 2, 3, 6, 43, 86, 129, 149, 258, 298, 447, 894, 6407, 12814, 19221, 38442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38442: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38442 is composite. Its prime factorisation is
- 3
The divisors add up to 79200; without 38442 itself that is 40758, so 38442 is abundant (40758 is more than 38442). Euler's totient φ(38442) = 12432 numbers up to 38442 share no factor with it.
- 4
The digits of 38442 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38442 = 2 \times 3 \times 43 \times 149 \]
38442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79200 |
| Euler totient φ(n) | 12432 |
| Square | 1477787364 |
| Cube | 56809101846888 |
| Square root | 196.066315 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8442 × |
38442 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and forty-two |
| Binary (base 2) | 1001011000101010 |
| Octal (base 8) | 113052 |
| Hexadecimal (base 16) | 962A |
| Base 3 | 1221201210 |
| As time | 38442 seconds = 10 h 40 min 42 s |
Is 38442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38442 ÷ 2 = 19221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38442 ÷ 3 = 12814) | 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 | Yes (38442 ÷ 6 = 6407) | 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 | No (remainder 3) | 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 8) | 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 38442 a prime number?
No. 38442 = 2 × 3 × 43 × 149, so it is divisible by 2.
What are the factors of 38442?
1, 2, 3, 6, 43, 86, 129, 149, 258, 298, 447, 894, 6407, 12814, 19221, 38442.
What is 38442 in binary?
1001011000101010 (hexadecimal 962A, octal 113052).
What is the square root of 38442?
About 196.0663.
Is 38442 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38442?
38442 is a happy number: repeatedly adding the squares of its digits reaches 1.