The number 18102
18102 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 431. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 431, 862, 1293, 2586, 3017, 6034, 9051, 18102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18102: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18102 is composite. Its prime factorisation is
- 3
The divisors add up to 41472; without 18102 itself that is 23370, so 18102 is abundant (23370 is more than 18102). Euler's totient φ(18102) = 5160 numbers up to 18102 share no factor with it.
- 4
The digits of 18102 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18102 = 2 \times 3 \times 7 \times 431 \]
18102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 41472 |
| Euler totient φ(n) | 5160 |
| Square | 327682404 |
| Cube | 5931706877208 |
| Square root | 134.543673 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8102 × |
18102 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and two |
| Binary (base 2) | 100011010110110 |
| Octal (base 8) | 43266 |
| Hexadecimal (base 16) | 46B6 |
| Base 3 | 220211110 |
| As time | 18102 seconds = 5 h 1 min 42 s |
Is 18102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18102 ÷ 2 = 9051) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18102 ÷ 3 = 6034) | 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 (18102 ÷ 6 = 3017) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18102 ÷ 7 = 2586) | 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 18102 a prime number?
No. 18102 = 2 × 3 × 7 × 431, so it is divisible by 2.
What are the factors of 18102?
1, 2, 3, 6, 7, 14, 21, 42, 431, 862, 1293, 2586, 3017, 6034, 9051, 18102.
What is 18102 in binary?
100011010110110 (hexadecimal 46B6, octal 43266).
What is the square root of 18102?
About 134.5437.
Is 18102 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 18102?
18102 is a happy number: repeatedly adding the squares of its digits reaches 1.