The number 18462
18462 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 181. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 181, 362, 543, 1086, 3077, 6154, 9231, 18462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18462 is composite. Its prime factorisation is
- 3
The divisors add up to 39312; without 18462 itself that is 20850, so 18462 is abundant (20850 is more than 18462). Euler's totient φ(18462) = 5760 numbers up to 18462 share no factor with it.
- 4
The digits of 18462 add up to 21, 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
\[ 18462 = 2 \times 3 \times 17 \times 181 \]
18462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 39312 |
| Euler totient φ(n) | 5760 |
| Square | 340845444 |
| Cube | 6292688587128 |
| Square root | 135.874943 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8462 × |
18462 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and sixty-two |
| Binary (base 2) | 100100000011110 |
| Octal (base 8) | 44036 |
| Hexadecimal (base 16) | 481E |
| Base 3 | 221022210 |
| As time | 18462 seconds = 5 h 7 min 42 s |
Is 18462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18462 ÷ 2 = 9231) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18462 ÷ 3 = 6154) | 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 (18462 ÷ 6 = 3077) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 18462 a prime number?
No. 18462 = 2 × 3 × 17 × 181, so it is divisible by 2.
What are the factors of 18462?
1, 2, 3, 6, 17, 34, 51, 102, 181, 362, 543, 1086, 3077, 6154, 9231, 18462.
What is 18462 in binary?
100100000011110 (hexadecimal 481E, octal 44036).
What is the square root of 18462?
About 135.8749.
Is 18462 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18462?
It is a composite number with 16 divisors.