The number 38142
38142 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 163. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 163, 234, 326, 489, 978 … 38142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38142: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
38142 is composite. Its prime factorisation is
- 3
The divisors add up to 89544; without 38142 itself that is 51402, so 38142 is abundant (51402 is more than 38142). Euler's totient φ(38142) = 11664 numbers up to 38142 share no factor with it.
- 4
The digits of 38142 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
\[ 38142 = 2 \times 3^{2} \times 13 \times 163 \]38142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89544 |
| Euler totient φ(n) | 11664 |
| Square | 1454812164 |
| Cube | 55489445559288 |
| Square root | 195.299770 (= 3√4238) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8142 × |
38142 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and forty-two |
| Binary (base 2) | 1001010011111110 |
| Octal (base 8) | 112376 |
| Hexadecimal (base 16) | 94FE |
| Base 3 | 1221022200 |
| As time | 38142 seconds = 10 h 35 min 42 s |
Is 38142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38142 ÷ 2 = 19071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38142 ÷ 3 = 12714) | 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 (38142 ÷ 6 = 6357) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38142 ÷ 9 = 4238) | 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 5) | 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 38142 a prime number?
No. 38142 = 2 × × 13 × 163, so it is divisible by 2.
What are the factors of 38142?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 163, 234, 326, 489, 978, 1467, 2119, 2934, 4238, 6357, 12714, 19071, 38142.
What is 38142 in binary?
1001010011111110 (hexadecimal 94FE, octal 112376).
What is the square root of 38142?
About 195.2998, exactly 3√4238.
Is 38142 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38142?
38142 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.