The number 18402
18402 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 3067. Divisors (8): 1, 2, 3, 6, 3067, 6134, 9201, 18402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18402 is composite. Its prime factorisation is
- 3
The divisors add up to 36816; without 18402 itself that is 18414, so 18402 is abundant (18414 is more than 18402). Euler's totient φ(18402) = 6132 numbers up to 18402 share no factor with it.
- 4
The digits of 18402 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18402 = 2 \times 3 \times 3067 \]
18402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36816 |
| Euler totient φ(n) | 6132 |
| Square | 338633604 |
| Cube | 6231535580808 |
| Square root | 135.653972 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8402 × |
18402 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and two |
| Binary (base 2) | 100011111100010 |
| Octal (base 8) | 43742 |
| Hexadecimal (base 16) | 47E2 |
| Base 3 | 221020120 |
| As time | 18402 seconds = 5 h 6 min 42 s |
Is 18402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18402 ÷ 2 = 9201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18402 ÷ 3 = 6134) | 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 (18402 ÷ 6 = 3067) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 10) | 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 18402 a prime number?
No. 18402 = 2 × 3 × 3067, so it is divisible by 2.
What are the factors of 18402?
1, 2, 3, 6, 3067, 6134, 9201, 18402.
What is 18402 in binary?
100011111100010 (hexadecimal 47E2, octal 43742).
What is the square root of 18402?
About 135.6540.
Is 18402 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 18402?
It is a composite number with 8 divisors.