The number 8418
8418 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 61. Divisors (16): 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8418 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8418 is composite. Its prime factorisation is
- 3
The divisors add up to 17856; without 8418 itself that is 9438, so 8418 is abundant (9438 is more than 8418). Euler's totient φ(8418) = 2640 numbers up to 8418 share no factor with it.
- 4
The digits of 8418 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8418 = 2 \times 3 \times 23 \times 61 \]
8418 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17856 |
| Euler totient φ(n) | 2640 |
| Square | 70862724 |
| Cube | 596522410632 |
| Square root | 91.749659 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.418 × |
8418 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and eighteen |
| Binary (base 2) | 10000011100010 |
| Octal (base 8) | 20342 |
| Hexadecimal (base 16) | 20E2 |
| Base 3 | 102112210 |
| As time | 8418 seconds = 2 h 20 min 18 s |
Is 8418 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8418 ÷ 2 = 4209) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8418 ÷ 3 = 2806) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8418 ÷ 6 = 1403) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 8418 a prime number?
No. 8418 = 2 × 3 × 23 × 61, so it is divisible by 2.
What are the factors of 8418?
1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418.
What is 8418 in binary?
10000011100010 (hexadecimal 20E2, octal 20342).
What is the square root of 8418?
About 91.7497.
Is 8418 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8418?
It is a composite number with 16 divisors.