The number 1918
1918 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 137. Divisors (8): 1, 2, 7, 14, 137, 274, 959, 1918.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1918 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1918 is composite. Its prime factorisation is
- 3
The divisors add up to 3312; without 1918 itself that is 1394, so 1918 is deficient (1394 is less than 1918). Euler's totient φ(1918) = 816 numbers up to 1918 share no factor with it.
- 4
The digits of 1918 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1918 = 2 \times 7 \times 137 \]
1918 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3312 |
| Euler totient φ(n) | 816 |
| Square | 3678724 |
| Cube | 7055792632 |
| Square root | 43.794977 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.918 × |
1918 in other forms
| Form | Value |
|---|---|
| In words | one thousand nine hundred and eighteen |
| Roman numerals | MCMXVIII |
| Binary (base 2) | 11101111110 |
| Octal (base 8) | 3576 |
| Hexadecimal (base 16) | 77E |
| Base 3 | 2122001 |
| As time | 1918 seconds = 31 min 58 s |
Is 1918 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1918 ÷ 2 = 959) | 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 | Yes (1918 ÷ 7 = 274) | 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 6) | 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 4) | 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 1918 a prime number?
No. 1918 = 2 × 7 × 137, so it is divisible by 2.
What are the factors of 1918?
1, 2, 7, 14, 137, 274, 959, 1918.
What is 1918 in binary?
11101111110 (hexadecimal 77E, octal 3576).
What is the square root of 1918?
About 43.7950.
What is 1918 in Roman numerals?
MCMXVIII.
Is 1918 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1918?
It is a composite number with 8 divisors.