The number 10092
10092 is a composite number with 18 divisors. Its prime factorisation is × 3 × . Divisors (18): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348, 841, 1682, 2523, 3364 … 10092.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10092: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.
- 2
10092 is composite. Its prime factorisation is
- 3
The divisors add up to 24388; without 10092 itself that is 14296, so 10092 is abundant (14296 is more than 10092). Euler's totient φ(10092) = 3248 numbers up to 10092 share no factor with it.
- 4
The digits of 10092 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10092 = 2^{2} \times 3 \times 29^{2} \]10092 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 24388 |
| Euler totient φ(n) | 3248 |
| Square | 101848464 |
| Cube | 1027854698688 |
| Square root | 100.458947 (= 58√3) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0092 × |
10092 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and ninety-two |
| Binary (base 2) | 10011101101100 |
| Octal (base 8) | 23554 |
| Hexadecimal (base 16) | 276C |
| Base 3 | 111211210 |
| As time | 10092 seconds = 2 h 48 min 12 s |
Is 10092 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10092 ÷ 2 = 5046) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10092 ÷ 3 = 3364) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10092 ÷ 4 = 2523) | 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 (10092 ÷ 6 = 1682) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (10092 ÷ 12 = 841) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10092 a prime number?
No. 10092 = × 3 × , so it is divisible by 2.
What are the factors of 10092?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348, 841, 1682, 2523, 3364, 5046, 10092.
What is 10092 in binary?
10011101101100 (hexadecimal 276C, octal 23554).
What is the square root of 10092?
About 100.4589, exactly 58√3.
Is 10092 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10092?
10092 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.