The number 33429
33429 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1013. Divisors (8): 1, 3, 11, 33, 1013, 3039, 11143, 33429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33429 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33429 is composite. Its prime factorisation is
- 3
The divisors add up to 48672; without 33429 itself that is 15243, so 33429 is deficient (15243 is less than 33429). Euler's totient φ(33429) = 20240 numbers up to 33429 share no factor with it.
- 4
The digits of 33429 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33429 = 3 \times 11 \times 1013 \]
33429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48672 |
| Euler totient φ(n) | 20240 |
| Square | 1117498041 |
| Cube | 37356842012589 |
| Square root | 182.835992 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3429 × |
33429 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and twenty-nine |
| Binary (base 2) | 1000001010010101 |
| Octal (base 8) | 101225 |
| Hexadecimal (base 16) | 8295 |
| Base 3 | 1200212010 |
| As time | 33429 seconds = 9 h 17 min 9 s |
Is 33429 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 (33429 ÷ 3 = 11143) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (33429 ÷ 11 = 3039) | 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 33429 a prime number?
No. 33429 = 3 × 11 × 1013, so it is divisible by 3.
What are the factors of 33429?
1, 3, 11, 33, 1013, 3039, 11143, 33429.
What is 33429 in binary?
1000001010010101 (hexadecimal 8295, octal 101225).
What is the square root of 33429?
About 182.8360.
Is 33429 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33429?
It is a composite number with 8 divisors.