The number 10182
10182 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1697. Divisors (8): 1, 2, 3, 6, 1697, 3394, 5091, 10182.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10182: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10182 is composite. Its prime factorisation is
- 3
The divisors add up to 20376; without 10182 itself that is 10194, so 10182 is abundant (10194 is more than 10182). Euler's totient φ(10182) = 3392 numbers up to 10182 share no factor with it.
- 4
The digits of 10182 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10182 = 2 \times 3 \times 1697 \]
10182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20376 |
| Euler totient φ(n) | 3392 |
| Square | 103673124 |
| Cube | 1055599748568 |
| Square root | 100.905897 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0182 × |
10182 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and eighty-two |
| Binary (base 2) | 10011111000110 |
| Octal (base 8) | 23706 |
| Hexadecimal (base 16) | 27C6 |
| Base 3 | 111222010 |
| As time | 10182 seconds = 2 h 49 min 42 s |
Is 10182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10182 ÷ 2 = 5091) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10182 ÷ 3 = 3394) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (10182 ÷ 6 = 1697) | 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 6) | 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 7) | 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 10182 a prime number?
No. 10182 = 2 × 3 × 1697, so it is divisible by 2.
What are the factors of 10182?
1, 2, 3, 6, 1697, 3394, 5091, 10182.
What is 10182 in binary?
10011111000110 (hexadecimal 27C6, octal 23706).
What is the square root of 10182?
About 100.9059.
Is 10182 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10182?
10182 is a happy number: repeatedly adding the squares of its digits reaches 1.