The number 33132
33132 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 251. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 251, 502, 753, 1004 … 33132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33132: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.
- 2
33132 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 33132 itself that is 51540, so 33132 is abundant (51540 is more than 33132). Euler's totient φ(33132) = 10000 numbers up to 33132 share no factor with it.
- 4
The digits of 33132 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33132 = 2^{2} \times 3 \times 11 \times 251 \]33132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 10000 |
| Square | 1097729424 |
| Cube | 36369971275968 |
| Square root | 182.021977 (= 2√8283) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3132 × |
33132 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and thirty-two |
| Binary (base 2) | 1000000101101100 |
| Octal (base 8) | 100554 |
| Hexadecimal (base 16) | 816C |
| Base 3 | 1200110010 |
| As time | 33132 seconds = 9 h 12 min 12 s |
Is 33132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33132 ÷ 2 = 16566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33132 ÷ 3 = 11044) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33132 ÷ 4 = 8283) | 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 (33132 ÷ 6 = 5522) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (33132 ÷ 11 = 3012) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33132 ÷ 12 = 2761) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33132 a prime number?
No. 33132 = × 3 × 11 × 251, so it is divisible by 2.
What are the factors of 33132?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 251, 502, 753, 1004, 1506, 2761, 3012, 5522, 8283, 11044, 16566, 33132.
What is 33132 in binary?
1000000101101100 (hexadecimal 816C, octal 100554).
What is the square root of 33132?
About 182.0220, exactly 2√8283.
Is 33132 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33132?
33132 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.