The number 33352
33352 is a composite number with 16 divisors. Its prime factorisation is × 11 × 379. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 379, 758, 1516, 3032, 4169, 8338, 16676, 33352.
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How to work it out
- 1
33352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33352 is composite. Its prime factorisation is
- 3
The divisors add up to 68400; without 33352 itself that is 35048, so 33352 is abundant (35048 is more than 33352). Euler's totient φ(33352) = 15120 numbers up to 33352 share no factor with it.
- 4
The digits of 33352 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33352 = 2^{3} \times 11 \times 379 \]33352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 68400 |
| Euler totient φ(n) | 15120 |
| Square | 1112355904 |
| Cube | 37099294110208 |
| Square root | 182.625299 (= 2√8338) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3352 × |
33352 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and fifty-two |
| Binary (base 2) | 1000001001001000 |
| Octal (base 8) | 101110 |
| Hexadecimal (base 16) | 8248 |
| Base 3 | 1200202021 |
| As time | 33352 seconds = 9 h 15 min 52 s |
Is 33352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33352 ÷ 2 = 16676) | 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 (33352 ÷ 4 = 8338) | 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 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 | Yes (33352 ÷ 8 = 4169) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (33352 ÷ 11 = 3032) | 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 33352 a prime number?
No. 33352 = × 11 × 379, so it is divisible by 2.
What are the factors of 33352?
1, 2, 4, 8, 11, 22, 44, 88, 379, 758, 1516, 3032, 4169, 8338, 16676, 33352.
What is 33352 in binary?
1000001001001000 (hexadecimal 8248, octal 101110).
What is the square root of 33352?
About 182.6253, exactly 2√8338.
Is 33352 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33352?
It is a composite number with 16 divisors.