The number 13092
13092 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1091. Divisors (12): 1, 2, 3, 4, 6, 12, 1091, 2182, 3273, 4364, 6546, 13092.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13092 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13092 is composite. Its prime factorisation is
- 3
The divisors add up to 30576; without 13092 itself that is 17484, so 13092 is abundant (17484 is more than 13092). Euler's totient φ(13092) = 4360 numbers up to 13092 share no factor with it.
- 4
The digits of 13092 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13092 = 2^{2} \times 3 \times 1091 \]13092 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30576 |
| Euler totient φ(n) | 4360 |
| Square | 171400464 |
| Cube | 2243974874688 |
| Square root | 114.420278 (= 2√3273) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3092 × |
13092 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and ninety-two |
| Binary (base 2) | 11001100100100 |
| Octal (base 8) | 31444 |
| Hexadecimal (base 16) | 3324 |
| Base 3 | 122221220 |
| As time | 13092 seconds = 3 h 38 min 12 s |
Is 13092 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13092 ÷ 2 = 6546) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13092 ÷ 3 = 4364) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13092 ÷ 4 = 3273) | 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 (13092 ÷ 6 = 2182) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13092 ÷ 12 = 1091) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13092 a prime number?
No. 13092 = × 3 × 1091, so it is divisible by 2.
What are the factors of 13092?
1, 2, 3, 4, 6, 12, 1091, 2182, 3273, 4364, 6546, 13092.
What is 13092 in binary?
11001100100100 (hexadecimal 3324, octal 31444).
What is the square root of 13092?
About 114.4203, exactly 2√3273.
Is 13092 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13092?
It is a composite number with 12 divisors.