The number 33152
33152 is a composite number with 32 divisors. Its prime factorisation is × 7 × 37. Divisors (32): 1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 64, 74, 112, 128, 148 … 33152.
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How to work it out
- 1
What is special about 33152: a Harshad number: divisible by its digit sum 14.
- 2
33152 is composite. Its prime factorisation is
- 3
The divisors add up to 77520; without 33152 itself that is 44368, so 33152 is abundant (44368 is more than 33152). Euler's totient φ(33152) = 13824 numbers up to 33152 share no factor with it.
- 4
The digits of 33152 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33152 = 2^{7} \times 7 \times 37 \]33152 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 77520 |
| Euler totient φ(n) | 13824 |
| Square | 1099055104 |
| Cube | 36435874807808 |
| Square root | 182.076907 (= 8√518) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3152 × |
33152 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and fifty-two |
| Binary (base 2) | 1000000110000000 |
| Octal (base 8) | 100600 |
| Hexadecimal (base 16) | 8180 |
| Base 3 | 1200110212 |
| As time | 33152 seconds = 9 h 12 min 32 s |
Is 33152 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33152 ÷ 2 = 16576) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33152 ÷ 4 = 8288) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33152 ÷ 7 = 4736) | 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 (33152 ÷ 8 = 4144) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33152 a prime number?
No. 33152 = × 7 × 37, so it is divisible by 2.
What are the factors of 33152?
1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 64, 74, 112, 128, 148, 224, 259, 296, 448, 518, 592, 896, 1036, 1184, 2072, 2368, 4144, 4736, 8288, 16576, 33152.
What is 33152 in binary?
1000000110000000 (hexadecimal 8180, octal 100600).
What is the square root of 33152?
About 182.0769, exactly 8√518.
Is 33152 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33152?
33152 is a Harshad number: divisible by its digit sum 14.