The number 40092
40092 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 257. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 257, 514, 771, 1028 … 40092.
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How to work it out
- 1
40092 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40092 is composite. Its prime factorisation is
- 3
The divisors add up to 101136; without 40092 itself that is 61044, so 40092 is abundant (61044 is more than 40092). Euler's totient φ(40092) = 12288 numbers up to 40092 share no factor with it.
- 4
The digits of 40092 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40092 = 2^{2} \times 3 \times 13 \times 257 \]40092 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 101136 |
| Euler totient φ(n) | 12288 |
| Square | 1607368464 |
| Cube | 64442616458688 |
| Square root | 200.229868 (= 2√10023) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0092 × |
40092 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and ninety-two |
| Binary (base 2) | 1001110010011100 |
| Octal (base 8) | 116234 |
| Hexadecimal (base 16) | 9C9C |
| Base 3 | 2000222220 |
| As time | 40092 seconds = 11 h 8 min 12 s |
Is 40092 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40092 ÷ 2 = 20046) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40092 ÷ 3 = 13364) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40092 ÷ 4 = 10023) | 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 (40092 ÷ 6 = 6682) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40092 ÷ 12 = 3341) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40092 a prime number?
No. 40092 = × 3 × 13 × 257, so it is divisible by 2.
What are the factors of 40092?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 257, 514, 771, 1028, 1542, 3084, 3341, 6682, 10023, 13364, 20046, 40092.
What is 40092 in binary?
1001110010011100 (hexadecimal 9C9C, octal 116234).
What is the square root of 40092?
About 200.2299, exactly 2√10023.
Is 40092 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40092?
It is a composite number with 24 divisors.