The number 40326
40326 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 11 × 13 × 47. Divisors (32): 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 47, 66, 78, 94, 141, 143 … 40326.
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How to work it out
- 1
40326 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40326 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 40326 itself that is 56442, so 40326 is abundant (56442 is more than 40326). Euler's totient φ(40326) = 11040 numbers up to 40326 share no factor with it.
- 4
The digits of 40326 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40326 = 2 \times 3 \times 11 \times 13 \times 47 \]
40326 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 11040 |
| Square | 1626186276 |
| Cube | 65577587765976 |
| Square root | 200.813346 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0326 × |
40326 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and twenty-six |
| Binary (base 2) | 1001110110000110 |
| Octal (base 8) | 116606 |
| Hexadecimal (base 16) | 9D86 |
| Base 3 | 2001022120 |
| As time | 40326 seconds = 11 h 12 min 6 s |
Is 40326 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40326 ÷ 2 = 20163) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40326 ÷ 3 = 13442) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40326 ÷ 6 = 6721) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (40326 ÷ 11 = 3666) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40326 a prime number?
No. 40326 = 2 × 3 × 11 × 13 × 47, so it is divisible by 2.
What are the factors of 40326?
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 47, 66, 78, 94, 141, 143, 282, 286, 429, 517, 611, 858, 1034, 1222, 1551, 1833, 3102, 3666, 6721, 13442, 20163, 40326.
What is 40326 in binary?
1001110110000110 (hexadecimal 9D86, octal 116606).
What is the square root of 40326?
About 200.8133.
Is 40326 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40326?
It is a composite number with 32 divisors.