The number 67332
67332 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 181. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 181, 186, 362, 372, 543, 724 … 67332.
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How to work it out
- 1
67332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67332 is composite. Its prime factorisation is
- 3
The divisors add up to 163072; without 67332 itself that is 95740, so 67332 is abundant (95740 is more than 67332). Euler's totient φ(67332) = 21600 numbers up to 67332 share no factor with it.
- 4
The digits of 67332 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67332 = 2^{2} \times 3 \times 31 \times 181 \]67332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163072 |
| Euler totient φ(n) | 21600 |
| Square | 4533598224 |
| Cube | 305256235618368 |
| Square root | 259.484104 (= 2√16833) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.7332 × |
67332 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and thirty-two |
| Binary (base 2) | 10000011100000100 |
| Octal (base 8) | 203404 |
| Hexadecimal (base 16) | 10704 |
| Base 3 | 10102100210 |
| As time | 67332 seconds = 18 h 42 min 12 s |
Is 67332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67332 ÷ 2 = 33666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67332 ÷ 3 = 22444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67332 ÷ 4 = 16833) | 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 (67332 ÷ 6 = 11222) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67332 ÷ 12 = 5611) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67332 a prime number?
No. 67332 = × 3 × 31 × 181, so it is divisible by 2.
What are the factors of 67332?
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 181, 186, 362, 372, 543, 724, 1086, 2172, 5611, 11222, 16833, 22444, 33666, 67332.
What is 67332 in binary?
10000011100000100 (hexadecimal 10704, octal 203404).
What is the square root of 67332?
About 259.4841, exactly 2√16833.
Is 67332 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67332?
It is a composite number with 24 divisors.