The number 39746
39746 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 167. Divisors (16): 1, 2, 7, 14, 17, 34, 119, 167, 238, 334, 1169, 2338, 2839, 5678, 19873, 39746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39746 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 39746 itself that is 32830, so 39746 is deficient (32830 is less than 39746). Euler's totient φ(39746) = 15936 numbers up to 39746 share no factor with it.
- 4
The digits of 39746 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39746 = 2 \times 7 \times 17 \times 167 \]
39746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 15936 |
| Square | 1579744516 |
| Cube | 62788525532936 |
| Square root | 199.363989 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.9746 × |
39746 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and forty-six |
| Binary (base 2) | 1001101101000010 |
| Octal (base 8) | 115502 |
| Hexadecimal (base 16) | 9B42 |
| Base 3 | 2000112002 |
| As time | 39746 seconds = 11 h 2 min 26 s |
Is 39746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39746 ÷ 2 = 19873) | 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 1) | 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 | Yes (39746 ÷ 7 = 5678) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 39746 a prime number?
No. 39746 = 2 × 7 × 17 × 167, so it is divisible by 2.
What are the factors of 39746?
1, 2, 7, 14, 17, 34, 119, 167, 238, 334, 1169, 2338, 2839, 5678, 19873, 39746.
What is 39746 in binary?
1001101101000010 (hexadecimal 9B42, octal 115502).
What is the square root of 39746?
About 199.3640.
Is 39746 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 39746?
It is a composite number with 16 divisors.