The number 38742
38742 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 587. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 587, 1174, 1761, 3522, 6457, 12914, 19371, 38742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38742 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 38742 itself that is 45930, so 38742 is abundant (45930 is more than 38742). Euler's totient φ(38742) = 11720 numbers up to 38742 share no factor with it.
- 4
The digits of 38742 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38742 = 2 \times 3 \times 11 \times 587 \]
38742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 11720 |
| Square | 1500942564 |
| Cube | 58149516814488 |
| Square root | 196.829876 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.8742 × |
38742 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and forty-two |
| Binary (base 2) | 1001011101010110 |
| Octal (base 8) | 113526 |
| Hexadecimal (base 16) | 9756 |
| Base 3 | 1222010220 |
| As time | 38742 seconds = 10 h 45 min 42 s |
Is 38742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38742 ÷ 2 = 19371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38742 ÷ 3 = 12914) | 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 (38742 ÷ 6 = 6457) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 6) | 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 | Yes (38742 ÷ 11 = 3522) | 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 38742 a prime number?
No. 38742 = 2 × 3 × 11 × 587, so it is divisible by 2.
What are the factors of 38742?
1, 2, 3, 6, 11, 22, 33, 66, 587, 1174, 1761, 3522, 6457, 12914, 19371, 38742.
What is 38742 in binary?
1001011101010110 (hexadecimal 9756, octal 113526).
What is the square root of 38742?
About 196.8299.
Is 38742 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38742?
It is a composite number with 16 divisors.