The number 39742
39742 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 641. Divisors (8): 1, 2, 31, 62, 641, 1282, 19871, 39742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39742 is composite. Its prime factorisation is
- 3
The divisors add up to 61632; without 39742 itself that is 21890, so 39742 is deficient (21890 is less than 39742). Euler's totient φ(39742) = 19200 numbers up to 39742 share no factor with it.
- 4
The digits of 39742 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39742 = 2 \times 31 \times 641 \]
39742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61632 |
| Euler totient φ(n) | 19200 |
| Square | 1579426564 |
| Cube | 62769570506488 |
| Square root | 199.353957 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 119 |
| Scientific notation | 3.9742 × |
39742 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and forty-two |
| Binary (base 2) | 1001101100111110 |
| Octal (base 8) | 115476 |
| Hexadecimal (base 16) | 9B3E |
| Base 3 | 2000111221 |
| As time | 39742 seconds = 11 h 2 min 22 s |
Is 39742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39742 ÷ 2 = 19871) | 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 | No (remainder 3) | 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 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 10) | 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 39742 a prime number?
No. 39742 = 2 × 31 × 641, so it is divisible by 2.
What are the factors of 39742?
1, 2, 31, 62, 641, 1282, 19871, 39742.
What is 39742 in binary?
1001101100111110 (hexadecimal 9B3E, octal 115476).
What is the square root of 39742?
About 199.3540.
Is 39742 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 39742?
It is a composite number with 8 divisors.