The number 4092
4092 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 31. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132 … 4092.
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How to work it out
- 1
4092 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4092 is composite. Its prime factorisation is
- 3
The divisors add up to 10752; without 4092 itself that is 6660, so 4092 is abundant (6660 is more than 4092). Euler's totient φ(4092) = 1200 numbers up to 4092 share no factor with it.
- 4
The digits of 4092 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4092 = 2^{2} \times 3 \times 11 \times 31 \]4092 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 10752 |
| Euler totient φ(n) | 1200 |
| Square | 16744464 |
| Cube | 68518346688 |
| Square root | 63.968742 (= 2√1023) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.092 × |
4092 in other forms
| Form | Value |
|---|---|
| In words | four thousand and ninety-two |
| Binary (base 2) | 111111111100 |
| Octal (base 8) | 7774 |
| Hexadecimal (base 16) | FFC |
| Base 3 | 12121120 |
| As time | 4092 seconds = 1 h 8 min 12 s |
Is 4092 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4092 ÷ 2 = 2046) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4092 ÷ 3 = 1364) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4092 ÷ 4 = 1023) | 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 (4092 ÷ 6 = 682) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (4092 ÷ 11 = 372) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4092 ÷ 12 = 341) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4092 a prime number?
No. 4092 = × 3 × 11 × 31, so it is divisible by 2.
What are the factors of 4092?
1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092.
What is 4092 in binary?
111111111100 (hexadecimal FFC, octal 7774).
What is the square root of 4092?
About 63.9687, exactly 2√1023.
Is 4092 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4092?
It is a composite number with 24 divisors.