The number 30429
30429 is a composite number with 24 divisors. Its prime factorisation is × × 23. Divisors (24): 1, 3, 7, 9, 21, 23, 27, 49, 63, 69, 147, 161, 189, 207, 441, 483 … 30429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30429 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30429 is composite. Its prime factorisation is
- 3
The divisors add up to 54720; without 30429 itself that is 24291, so 30429 is deficient (24291 is less than 30429). Euler's totient φ(30429) = 16632 numbers up to 30429 share no factor with it.
- 4
The digits of 30429 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30429 = 3^{3} \times 7^{2} \times 23 \]30429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 54720 |
| Euler totient φ(n) | 16632 |
| Square | 925924041 |
| Cube | 28174942643589 |
| Square root | 174.439101 (= 21√69) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.0429 × |
30429 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand four hundred and twenty-nine |
| Binary (base 2) | 111011011011101 |
| Octal (base 8) | 73335 |
| Hexadecimal (base 16) | 76DD |
| Base 3 | 1112202000 |
| As time | 30429 seconds = 8 h 27 min 9 s |
Is 30429 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 (30429 ÷ 3 = 10143) | 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 | Yes (30429 ÷ 7 = 4347) | 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 (30429 ÷ 9 = 3381) | 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 3) | 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 30429 a prime number?
No. 30429 = × × 23, so it is divisible by 3.
What are the factors of 30429?
1, 3, 7, 9, 21, 23, 27, 49, 63, 69, 147, 161, 189, 207, 441, 483, 621, 1127, 1323, 1449, 3381, 4347, 10143, 30429.
What is 30429 in binary?
111011011011101 (hexadecimal 76DD, octal 73335).
What is the square root of 30429?
About 174.4391, exactly 21√69.
Is 30429 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 30429?
It is a composite number with 24 divisors.