The number 418
418 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 19. Divisors (8): 1, 2, 11, 19, 22, 38, 209, 418.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
418 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
418 is composite. Its prime factorisation is
- 3
The divisors add up to 720; without 418 itself that is 302, so 418 is deficient (302 is less than 418). Euler's totient φ(418) = 180 numbers up to 418 share no factor with it.
- 4
The digits of 418 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 418 = 2 \times 11 \times 19 \]
418 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 720 |
| Euler totient φ(n) | 180 |
| Square | 174724 |
| Cube | 73034632 |
| Square root | 20.445048 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 40 |
| Scientific notation | 4.18 × |
418 in other forms
| Form | Value |
|---|---|
| In words | four hundred and eighteen |
| Roman numerals | CDXVIII |
| Binary (base 2) | 110100010 |
| Octal (base 8) | 642 |
| Hexadecimal (base 16) | 1A2 |
| Base 3 | 120111 |
| As time | 418 seconds = 6 min 58 s |
Is 418 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (418 ÷ 2 = 209) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 | Yes (418 ÷ 11 = 38) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 418 a prime number?
No. 418 = 2 × 11 × 19, so it is divisible by 2.
What are the factors of 418?
1, 2, 11, 19, 22, 38, 209, 418.
What is 418 in binary?
110100010 (hexadecimal 1A2, octal 642).
What is the square root of 418?
About 20.4450.
What is 418 in Roman numerals?
CDXVIII.
Is 418 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 418?
It is a composite number with 8 divisors.