The number 618
618 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 103. Divisors (8): 1, 2, 3, 6, 103, 206, 309, 618.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
618 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
618 is composite. Its prime factorisation is
- 3
The divisors add up to 1248; without 618 itself that is 630, so 618 is abundant (630 is more than 618). Euler's totient φ(618) = 204 numbers up to 618 share no factor with it.
- 4
The digits of 618 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 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 618 = 2 \times 3 \times 103 \]
618 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1248 |
| Euler totient φ(n) | 204 |
| Square | 381924 |
| Cube | 236029032 |
| Square root | 24.859606 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 25 |
| Scientific notation | 6.18 × |
618 in other forms
| Form | Value |
|---|---|
| In words | six hundred and eighteen |
| Roman numerals | DCXVIII |
| Binary (base 2) | 1001101010 |
| Octal (base 8) | 1152 |
| Hexadecimal (base 16) | 26A |
| Base 3 | 211220 |
| As time | 618 seconds = 10 min 18 s |
Is 618 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (618 ÷ 2 = 309) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (618 ÷ 3 = 206) | 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 (618 ÷ 6 = 103) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 618 a prime number?
No. 618 = 2 × 3 × 103, so it is divisible by 2.
What are the factors of 618?
1, 2, 3, 6, 103, 206, 309, 618.
What is 618 in binary?
1001101010 (hexadecimal 26A, octal 1152).
What is the square root of 618?
About 24.8596.
What is 618 in Roman numerals?
DCXVIII.
Is 618 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 618?
It is a composite number with 8 divisors.