The number 39429
39429 is a composite number with 12 divisors. Its prime factorisation is × 13 × 337. Divisors (12): 1, 3, 9, 13, 39, 117, 337, 1011, 3033, 4381, 13143, 39429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
39429 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
39429 is composite. Its prime factorisation is
- 3
The divisors add up to 61516; without 39429 itself that is 22087, so 39429 is deficient (22087 is less than 39429). Euler's totient φ(39429) = 24192 numbers up to 39429 share no factor with it.
- 4
The digits of 39429 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39429 = 3^{2} \times 13 \times 337 \]39429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61516 |
| Euler totient φ(n) | 24192 |
| Square | 1554646041 |
| Cube | 61298138750589 |
| Square root | 198.567369 (= 3√4381) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.9429 × |
39429 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand four hundred and twenty-nine |
| Binary (base 2) | 1001101000000101 |
| Octal (base 8) | 115005 |
| Hexadecimal (base 16) | 9A05 |
| Base 3 | 2000002100 |
| As time | 39429 seconds = 10 h 57 min 9 s |
Is 39429 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39429 ÷ 3 = 13143) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39429 ÷ 9 = 4381) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39429 a prime number?
No. 39429 = × 13 × 337, so it is divisible by 3.
What are the factors of 39429?
1, 3, 9, 13, 39, 117, 337, 1011, 3033, 4381, 13143, 39429.
What is 39429 in binary?
1001101000000101 (hexadecimal 9A05, octal 115005).
What is the square root of 39429?
About 198.5674, exactly 3√4381.
Is 39429 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 39429?
It is a composite number with 12 divisors.