The number 40332
40332 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3361. Divisors (12): 1, 2, 3, 4, 6, 12, 3361, 6722, 10083, 13444, 20166, 40332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40332: a Harshad number: divisible by its digit sum 12.
- 2
40332 is composite. Its prime factorisation is
- 3
The divisors add up to 94136; without 40332 itself that is 53804, so 40332 is abundant (53804 is more than 40332). Euler's totient φ(40332) = 13440 numbers up to 40332 share no factor with it.
- 4
The digits of 40332 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40332 = 2^{2} \times 3 \times 3361 \]40332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94136 |
| Euler totient φ(n) | 13440 |
| Square | 1626670224 |
| Cube | 65606863474368 |
| Square root | 200.828285 (= 2√10083) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0332 × |
40332 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and thirty-two |
| Binary (base 2) | 1001110110001100 |
| Octal (base 8) | 116614 |
| Hexadecimal (base 16) | 9D8C |
| Base 3 | 2001022210 |
| As time | 40332 seconds = 11 h 12 min 12 s |
Is 40332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40332 ÷ 2 = 20166) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40332 ÷ 3 = 13444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40332 ÷ 4 = 10083) | 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 (40332 ÷ 6 = 6722) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40332 ÷ 12 = 3361) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40332 a prime number?
No. 40332 = × 3 × 3361, so it is divisible by 2.
What are the factors of 40332?
1, 2, 3, 4, 6, 12, 3361, 6722, 10083, 13444, 20166, 40332.
What is 40332 in binary?
1001110110001100 (hexadecimal 9D8C, octal 116614).
What is the square root of 40332?
About 200.8283, exactly 2√10083.
Is 40332 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40332?
40332 is a Harshad number: divisible by its digit sum 12.