The number 1018
1018 is a composite number with 4 divisors. Its prime factorisation is 2 × 509. Divisors (4): 1, 2, 509, 1018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1018: a semiprime: 2 × 509, the product of two primes.
- 2
1018 is composite. Its prime factorisation is
- 3
The divisors add up to 1530; without 1018 itself that is 512, so 1018 is deficient (512 is less than 1018). Euler's totient φ(1018) = 508 numbers up to 1018 share no factor with it.
- 4
The digits of 1018 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1018 = 2 \times 509 \]
1018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1530 |
| Euler totient φ(n) | 508 |
| Square | 1036324 |
| Cube | 1054977832 |
| Square root | 31.906112 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 1.018 × |
1018 in other forms
| Form | Value |
|---|---|
| In words | one thousand and eighteen |
| Roman numerals | MXVIII |
| Binary (base 2) | 1111111010 |
| Octal (base 8) | 1772 |
| Hexadecimal (base 16) | 3FA |
| Base 3 | 1101201 |
| As time | 1018 seconds = 16 min 58 s |
Is 1018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1018 ÷ 2 = 509) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | 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 1018 a prime number?
No. 1018 = 2 × 509, so it is divisible by 2.
What are the factors of 1018?
1, 2, 509, 1018.
What is 1018 in binary?
1111111010 (hexadecimal 3FA, octal 1772).
What is the square root of 1018?
About 31.9061.
What is 1018 in Roman numerals?
MXVIII.
Is 1018 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1018?
1018 is a semiprime: 2 × 509, the product of two primes.