The number 33832
33832 is a composite number with 8 divisors. Its prime factorisation is × 4229. Divisors (8): 1, 2, 4, 8, 4229, 8458, 16916, 33832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33832 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33832 is composite. Its prime factorisation is
- 3
The divisors add up to 63450; without 33832 itself that is 29618, so 33832 is deficient (29618 is less than 33832). Euler's totient φ(33832) = 16912 numbers up to 33832 share no factor with it.
- 4
The digits of 33832 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33832 = 2^{3} \times 4229 \]33832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63450 |
| Euler totient φ(n) | 16912 |
| Square | 1144604224 |
| Cube | 38724250106368 |
| Square root | 183.934771 (= 2√8458) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3832 × |
33832 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and thirty-two |
| Binary (base 2) | 1000010000101000 |
| Octal (base 8) | 102050 |
| Hexadecimal (base 16) | 8428 |
| Base 3 | 1201102001 |
| As time | 33832 seconds = 9 h 23 min 52 s |
Is 33832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33832 ÷ 2 = 16916) | 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 | Yes (33832 ÷ 4 = 8458) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (33832 ÷ 8 = 4229) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33832 a prime number?
No. 33832 = × 4229, so it is divisible by 2.
What are the factors of 33832?
1, 2, 4, 8, 4229, 8458, 16916, 33832.
What is 33832 in binary?
1000010000101000 (hexadecimal 8428, octal 102050).
What is the square root of 33832?
About 183.9348, exactly 2√8458.
Is 33832 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33832?
It is a composite number with 8 divisors.