The number 33552
33552 is a composite number with 30 divisors. Its prime factorisation is × × 233. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 233 … 33552.
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How to work it out
- 1
What is special about 33552: a Harshad number: divisible by its digit sum 18.
- 2
33552 is composite. Its prime factorisation is
- 3
The divisors add up to 94302; without 33552 itself that is 60750, so 33552 is abundant (60750 is more than 33552). Euler's totient φ(33552) = 11136 numbers up to 33552 share no factor with it.
- 4
The digits of 33552 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33552 = 2^{4} \times 3^{2} \times 233 \]33552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 94302 |
| Euler totient φ(n) | 11136 |
| Square | 1125736704 |
| Cube | 37770717892608 |
| Square root | 183.172050 (= 12√233) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3552 × |
33552 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and fifty-two |
| Binary (base 2) | 1000001100010000 |
| Octal (base 8) | 101420 |
| Hexadecimal (base 16) | 8310 |
| Base 3 | 1201000200 |
| As time | 33552 seconds = 9 h 19 min 12 s |
Is 33552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33552 ÷ 2 = 16776) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33552 ÷ 3 = 11184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33552 ÷ 4 = 8388) | 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 | Yes (33552 ÷ 6 = 5592) | 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 (33552 ÷ 8 = 4194) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33552 ÷ 9 = 3728) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33552 ÷ 12 = 2796) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33552 a prime number?
No. 33552 = × × 233, so it is divisible by 2.
What are the factors of 33552?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 233, 466, 699, 932, 1398, 1864, 2097, 2796, 3728, 4194, 5592, 8388, 11184, 16776, 33552.
What is 33552 in binary?
1000001100010000 (hexadecimal 8310, octal 101420).
What is the square root of 33552?
About 183.1721, exactly 12√233.
Is 33552 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33552?
33552 is a Harshad number: divisible by its digit sum 18.