The number 33229
33229 is a composite number with 8 divisors. Its prime factorisation is 7 × 47 × 101. Divisors (8): 1, 7, 47, 101, 329, 707, 4747, 33229.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33229 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33229 is composite. Its prime factorisation is
- 3
The divisors add up to 39168; without 33229 itself that is 5939, so 33229 is deficient (5939 is less than 33229). Euler's totient φ(33229) = 27600 numbers up to 33229 share no factor with it.
- 4
The digits of 33229 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33229 = 7 \times 47 \times 101 \]
33229 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39168 |
| Euler totient φ(n) | 27600 |
| Square | 1104166441 |
| Cube | 36690346667989 |
| Square root | 182.288233 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3229 × |
33229 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and twenty-nine |
| Binary (base 2) | 1000000111001101 |
| Octal (base 8) | 100715 |
| Hexadecimal (base 16) | 81CD |
| Base 3 | 1200120201 |
| As time | 33229 seconds = 9 h 13 min 49 s |
Is 33229 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33229 ÷ 7 = 4747) | 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 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33229 a prime number?
No. 33229 = 7 × 47 × 101, so it is divisible by 7.
What are the factors of 33229?
1, 7, 47, 101, 329, 707, 4747, 33229.
What is 33229 in binary?
1000000111001101 (hexadecimal 81CD, octal 100715).
What is the square root of 33229?
About 182.2882.
Is 33229 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33229?
It is a composite number with 8 divisors.