The number 33129
33129 is a composite number with 10 divisors. Its prime factorisation is × 409. Divisors (10): 1, 3, 9, 27, 81, 409, 1227, 3681, 11043, 33129.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33129 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33129 is composite. Its prime factorisation is
- 3
The divisors add up to 49610; without 33129 itself that is 16481, so 33129 is deficient (16481 is less than 33129). Euler's totient φ(33129) = 22032 numbers up to 33129 share no factor with it.
- 4
The digits of 33129 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33129 = 3^{4} \times 409 \]33129 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 49610 |
| Euler totient φ(n) | 22032 |
| Square | 1097530641 |
| Cube | 36360092605689 |
| Square root | 182.013736 (= 9√409) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3129 × |
33129 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and twenty-nine |
| Binary (base 2) | 1000000101101001 |
| Octal (base 8) | 100551 |
| Hexadecimal (base 16) | 8169 |
| Base 3 | 1200110000 |
| As time | 33129 seconds = 9 h 12 min 9 s |
Is 33129 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 (33129 ÷ 3 = 11043) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33129 ÷ 9 = 3681) | 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 8) | 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 33129 a prime number?
No. 33129 = × 409, so it is divisible by 3.
What are the factors of 33129?
1, 3, 9, 27, 81, 409, 1227, 3681, 11043, 33129.
What is 33129 in binary?
1000000101101001 (hexadecimal 8169, octal 100551).
What is the square root of 33129?
About 182.0137, exactly 9√409.
Is 33129 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33129?
It is a composite number with 10 divisors.